Respuesta :
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
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: 26 ft.
Step-by-step 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
[tex]H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=\sqrt{676}\\\\\Rightarrow\ H=26\ ft[/tex]
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.