Question
A right triangle has a hight of 6 and width of 8
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answers
GPT 3.5
To find the length of the hypotenuse, 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).
So, in this case, we have:
a = 6 (height)
b = 8 (width)
We can substitute these values into the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
Taking the square root of both sides to find the length of the hypotenuse:
c = √100
c = 10
Therefore, the length of the hypotenuse is 10.
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).
So, in this case, we have:
a = 6 (height)
b = 8 (width)
We can substitute these values into the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
Taking the square root of both sides to find the length of the hypotenuse:
c = √100
c = 10
Therefore, the length of the hypotenuse is 10.