Question

What is the length of the hypotenuse of the triangle? 26 ft 34 ft 68 ft 74 ft

Answer 1

the hypotenuse is found by A^2 +B^2=C^2
so
10^2 +24^2=C^2
100+576=C^2
676=C^2
so then we find the square root of 676 which is
26.
so C^2= 26

answer 26 ft

Answer 2

Answer: 26 ft.

Explanation:

In the given picture, there is a right triangle.

The legs of the right triangles are 10 ft and 24 ft.

To find the length of hypotenuse, we use Pythagoras theorem, we get

`H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=√(676)\\\\\Rightarrow\ H=26\ ft`

Hence, the length of the hypotenuse = 26 ft.

• Pythagoras theorem says that the square of the hypotenuseis equal to the sum of the squares of the other two sides.