In a right triangle, one of the angles is always 90 degrees. So, if one angle is 65 degrees, the sum of the angles in a triangle is 180 degrees. Therefore, the third angle in the triangle can be found by subtracting the sum of the given angles from 180 degrees.
Third angle = 180 degrees - (90 degrees + 65 degrees)
Third angle = 180 degrees - 155 degrees
Third angle = 25 degrees
1st question: If a right triangle has an angle that is 65 degrees, what is the third angle in the triangle?
11 answers
If a triangle has sides measuring 60, 75, and 45, is it a right triangle?
No, because 5,625 does not equal 3,600.
No, because 5,625 does not equal 3,600.
Yes, because 3,600 equals 3,600.
Yes, because 3,600 equals 3,600.
Yes, because 5,626 equals 5,625.
Yes, because 5,626 equals 5,625.
No, because 9,225 does not equal 2,025.
No, because 9,225 does not equal 2,025.
No, because 5,625 does not equal 3,600.
No, because 5,625 does not equal 3,600.
Yes, because 3,600 equals 3,600.
Yes, because 3,600 equals 3,600.
Yes, because 5,626 equals 5,625.
Yes, because 5,626 equals 5,625.
No, because 9,225 does not equal 2,025.
No, because 9,225 does not equal 2,025.
To determine if a triangle is a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the side lengths given are 60, 75, and 45. We can check if these side lengths satisfy the Pythagorean theorem:
60^2 + 45^2 = 3600 + 2025 = 5625
75^2 = 5625
Since 5625 is not equal to 3600, the triangle with side lengths 60, 75, and 45 is not a right triangle.
In this case, the side lengths given are 60, 75, and 45. We can check if these side lengths satisfy the Pythagorean theorem:
60^2 + 45^2 = 3600 + 2025 = 5625
75^2 = 5625
Since 5625 is not equal to 3600, the triangle with side lengths 60, 75, and 45 is not a right triangle.
Answer the question with the given answers below the question
Apologies for the confusion. Based on the choices provided, the correct answer is:
No, because 5,625 does not equal 3,600.
No, because 5,625 does not equal 3,600.
If triangle DEF has sides measuring 50, 40, and 32, is the triangle a right triangle? If it is a right triangle, answer with the number 90. If it is not a right triangle, answer with the number 0.
So, which one is it, 90 or 0.
So, which one is it, 90 or 0.
To determine if a triangle is a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the side lengths given are 50, 40, and 32. We can check if these side lengths satisfy the Pythagorean theorem:
50^2 + 40^2 = 2500 + 1600 = 4100
32^2 = 1024
Since 4100 is not equal to 1024, the triangle with side lengths 50, 40, and 32 is not a right triangle. Therefore, the answer is 0.
In this case, the side lengths given are 50, 40, and 32. We can check if these side lengths satisfy the Pythagorean theorem:
50^2 + 40^2 = 2500 + 1600 = 4100
32^2 = 1024
Since 4100 is not equal to 1024, the triangle with side lengths 50, 40, and 32 is not a right triangle. Therefore, the answer is 0.
If a triangle has sides of length 12 and 16, how long is the hypotenuse?
To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the given side lengths are 12 and 16. Let's label the hypotenuse as "c". Using the Pythagorean theorem:
c^2 = 12^2 + 16^2
c^2 = 144 + 256
c^2 = 400
Taking the square root of both sides, we find:
c = √400
c = 20
Therefore, the length of the hypotenuse in the triangle with sides measuring 12 and 16 is 20 units.
In this case, the given side lengths are 12 and 16. Let's label the hypotenuse as "c". Using the Pythagorean theorem:
c^2 = 12^2 + 16^2
c^2 = 144 + 256
c^2 = 400
Taking the square root of both sides, we find:
c = √400
c = 20
Therefore, the length of the hypotenuse in the triangle with sides measuring 12 and 16 is 20 units.
If a right triangle has a leg with a length of 12 and the hypotenuse is 16, how long is the other leg? Round to the nearest tenth, if necessary.
To find the length of the other leg in a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
In this case, the given leg length is 12 and the hypotenuse length is 16. Let's label the other leg length as "x". Using the Pythagorean theorem:
16^2 = 12^2 + x^2
256 = 144 + x^2
256 - 144 = x^2
112 = x^2
Taking the square root of both sides, we find:
x = √112 ≈ 10.6
Therefore, the length of the other leg in the right triangle is approximately 10.6 units.
In this case, the given leg length is 12 and the hypotenuse length is 16. Let's label the other leg length as "x". Using the Pythagorean theorem:
16^2 = 12^2 + x^2
256 = 144 + x^2
256 - 144 = x^2
112 = x^2
Taking the square root of both sides, we find:
x = √112 ≈ 10.6
Therefore, the length of the other leg in the right triangle is approximately 10.6 units.