Respuesta :

gmany

Answer:

hypotenuse = 10 in.

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]hypotenuse^2=leg^2+leg^2[/tex]

We have

[tex]leg=6\ in,\ leg=8\ in[/tex]

Substitute:

[tex]hypotenuse^2=6^2+8^2\\\\hypotenuse^2=36+64\\\\hypotenuse^2=100\Rightarrow hypotenuse=\sqrt{100}\\\\hypotenuse=10\ in[/tex]

6 squared + 8 squared = c squared
36 + 64 = c squared
100= c squared
Than you take the square root of 100 which is 10.
So the length of your hypotenuse would be 10