What is the length of the hypotenuse? If necessary, round to the nearest tenth.
image shows a right triangle with a height of 6 and a width of 8 ft with the length being labeled c
To find the length of the hypotenuse (labeled c), we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have a height (opposite side) of 6 ft and a width (adjacent side) of 8 ft.
Using the Pythagorean theorem, we can calculate:
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
Taking the square root of both sides:
c = √100
c = 10 ft
Therefore, the length of the hypotenuse is 10 ft.