To find the length of the other leg, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
In this case, let's denote the length of the other leg as "x". The Pythagorean theorem can be written as:
6^2 + x^2 = 12^2
Simplifying this equation gives us:
36 + x^2 = 144
Subtracting 36 from both sides:
x^2 = 108
Taking the square root of both sides:
x = √108
Using a calculator, we find that √108 is approximately 10.4.
Therefore, the length of the other leg is approximately 10.4 feet.
If a right triangle has a leg that is 6 ft. long and the hypotenuse is 12 ft. long, how long is the other leg? and round to the nearest tenth.
17 answers
a trianle and two sides one is 30 and one is 20. Find the unknown side length in the given triangle. and round to the nearest hundredth.
To find the length of the unknown side in the given triangle, we can again use the Pythagorean theorem.
Let's denote the length of the unknown side as "x". The Pythagorean theorem can be written as:
x^2 = 30^2 + 20^2
Simplifying this equation gives us:
x^2 = 900 + 400
x^2 = 1300
Taking the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06.
Therefore, the length of the unknown side is approximately 36.06 units, rounded to the nearest hundredth.
Let's denote the length of the unknown side as "x". The Pythagorean theorem can be written as:
x^2 = 30^2 + 20^2
Simplifying this equation gives us:
x^2 = 900 + 400
x^2 = 1300
Taking the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06.
Therefore, the length of the unknown side is approximately 36.06 units, rounded to the nearest hundredth.
a triangle right and one side is 30 and one is 20
Find the unknown side length in the given triangle. Round to the nearest hundredth.
Find the unknown side length in the given triangle. Round to the nearest hundredth.
To find the length of the unknown side in the given right triangle, we can again use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
Let's denote the length of the unknown side as "x". The Pythagorean theorem can be written as:
x^2 = 30^2 + 20^2
Simplifying this equation gives us:
x^2 = 900 + 400
x^2 = 1300
Taking the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06.
Therefore, the length of the unknown side in the given triangle is approximately 36.06 units, rounded to the nearest hundredth.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
Let's denote the length of the unknown side as "x". The Pythagorean theorem can be written as:
x^2 = 30^2 + 20^2
Simplifying this equation gives us:
x^2 = 900 + 400
x^2 = 1300
Taking the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06.
Therefore, the length of the unknown side in the given triangle is approximately 36.06 units, rounded to the nearest hundredth.
a right triangle and one side is 30 and one is 20
Find the unknown side length in the given triangle. Round to the nearest hundredth.
Find the unknown side length in the given triangle. Round to the nearest hundredth.
Let's denote the unknown side as "x". Since it is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
In this case, the hypotenuse is the unknown side, so we have:
x^2 = 30^2 + 20^2
Simplifying this equation gives us:
x^2 = 900 + 400
x^2 = 1300
To find the value of x, we can take the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06.
Therefore, the length of the unknown side in the given right triangle is approximately 36.06, rounded to the nearest hundredth.
In this case, the hypotenuse is the unknown side, so we have:
x^2 = 30^2 + 20^2
Simplifying this equation gives us:
x^2 = 900 + 400
x^2 = 1300
To find the value of x, we can take the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06.
Therefore, the length of the unknown side in the given right triangle is approximately 36.06, rounded to the nearest hundredth.
wrong
Apologies for the confusion. Let's re-evaluate the problem correctly.
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Let's denote the unknown side as "x".
We have the following equation:
x^2 = 30^2 + 20^2
Simplifying this equation gives us:
x^2 = 900 + 400
x^2 = 1300
To find the value of x, we can take the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06.
Therefore, the length of the unknown side in the given right triangle is approximately 36.06, rounded to the nearest hundredth.
My sincere apologies for the mistake in my previous response.
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Let's denote the unknown side as "x".
We have the following equation:
x^2 = 30^2 + 20^2
Simplifying this equation gives us:
x^2 = 900 + 400
x^2 = 1300
To find the value of x, we can take the square root of both sides:
x = √1300
Using a calculator, we find that √1300 is approximately 36.06.
Therefore, the length of the unknown side in the given right triangle is approximately 36.06, rounded to the nearest hundredth.
My sincere apologies for the mistake in my previous response.
wrong!
the triangle is a right triangle, one side is 20, and one side is 30, what is the unknown side?
the triangle is a right triangle, one side is 20, and one side is 30, what is the unknown side?
Apologies for the previous incorrect responses.
Let's denote the unknown side as "x". Since the triangle is a right triangle, we can use the Pythagorean theorem to find the length of the unknown side.
According to the Pythagorean theorem, the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
Therefore, we have:
x^2 = 30^2 - 20^2
Simplifying this equation:
x^2 = 900 - 400
x^2 = 500
To find the value of x, we can take the square root of both sides:
x = √500
Using a calculator, we find that √500 is approximately 22.36.
Therefore, the length of the unknown side in the given right triangle is approximately 22.36, rounded to the nearest hundredth.
Let's denote the unknown side as "x". Since the triangle is a right triangle, we can use the Pythagorean theorem to find the length of the unknown side.
According to the Pythagorean theorem, the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
Therefore, we have:
x^2 = 30^2 - 20^2
Simplifying this equation:
x^2 = 900 - 400
x^2 = 500
To find the value of x, we can take the square root of both sides:
x = √500
Using a calculator, we find that √500 is approximately 22.36.
Therefore, the length of the unknown side in the given right triangle is approximately 22.36, rounded to the nearest hundredth.
If a right triangle has legs measuring 10 cm and 24 cm, how long is the hypotenuse?
To find the length of the hypotenuse in a right triangle with legs measuring 10 cm and 24 cm, we can use the Pythagorean theorem.
The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
Let's denote the length of the hypotenuse as "c".
Using the Pythagorean theorem, we can write the equation as:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
To find the value of c, we can take the square root of both sides:
c = √676
Using a calculator, we find that √676 is equal to 26.
Therefore, the length of the hypotenuse in the given right triangle is 26 cm.
The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
Let's denote the length of the hypotenuse as "c".
Using the Pythagorean theorem, we can write the equation as:
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
To find the value of c, we can take the square root of both sides:
c = √676
Using a calculator, we find that √676 is equal to 26.
Therefore, the length of the hypotenuse in the given right triangle is 26 cm.
Camila needs to fix the window on the front of her house. The bottom of the window is 16 ft. from the ground. She only has a 20 ft. ladder. How far from the base of the house should she set up the ladder so that the top of the ladder is exactly at the bottom of the window?
To determine the distance from the base of the house where Camila should set up the ladder, we can use the Pythagorean theorem.
Let x be the distance from the base of the house to where Camila sets up the ladder. Since the ladder is 20 ft. long, this forms one of the legs of a right triangle.
The other leg of the right triangle is the vertical distance from the ground to the bottom of the window, which is 16 ft.
We can set up the equation using the Pythagorean theorem:
x^2 + 16^2 = 20^2
x^2 + 256 = 400
Subtracting 256 from both sides:
x^2 = 144
Taking the square root of both sides:
x = √144
Therefore, x = 12 ft.
Camila should set up the ladder 12 ft. from the base of the house so that the top of the ladder is exactly at the bottom of the window.
Let x be the distance from the base of the house to where Camila sets up the ladder. Since the ladder is 20 ft. long, this forms one of the legs of a right triangle.
The other leg of the right triangle is the vertical distance from the ground to the bottom of the window, which is 16 ft.
We can set up the equation using the Pythagorean theorem:
x^2 + 16^2 = 20^2
x^2 + 256 = 400
Subtracting 256 from both sides:
x^2 = 144
Taking the square root of both sides:
x = √144
Therefore, x = 12 ft.
Camila should set up the ladder 12 ft. from the base of the house so that the top of the ladder is exactly at the bottom of the window.
all of the correct answers are:
1) 10.4
2) 22.36
3) 26
4) 12
5) 40
1) 10.4
2) 22.36
3) 26
4) 12
5) 40
Apologies for the incorrect responses in my previous answers. Here is the correct response to your question:
To determine the distance from the base of the house where Camila should set up the ladder, we can use the Pythagorean theorem.
Let x be the distance from the base of the house to where Camila sets up the ladder. Since the ladder is 20 ft. long, this forms one of the legs of a right triangle.
The other leg of the right triangle is the vertical distance from the ground to the bottom of the window, which is 16 ft.
We can set up the equation using the Pythagorean theorem:
x^2 + 16^2 = 20^2
x^2 + 256 = 400
Subtracting 256 from both sides:
x^2 = 144
Taking the square root of both sides:
x = √144
Therefore, x = 12 ft.
Camila should set up the ladder 12 ft. from the base of the house so that the top of the ladder is exactly at the bottom of the window.
To determine the distance from the base of the house where Camila should set up the ladder, we can use the Pythagorean theorem.
Let x be the distance from the base of the house to where Camila sets up the ladder. Since the ladder is 20 ft. long, this forms one of the legs of a right triangle.
The other leg of the right triangle is the vertical distance from the ground to the bottom of the window, which is 16 ft.
We can set up the equation using the Pythagorean theorem:
x^2 + 16^2 = 20^2
x^2 + 256 = 400
Subtracting 256 from both sides:
x^2 = 144
Taking the square root of both sides:
x = √144
Therefore, x = 12 ft.
Camila should set up the ladder 12 ft. from the base of the house so that the top of the ladder is exactly at the bottom of the window.
2 answers