Respuesta :

Answer is 6 units

Step by step.
By using Pythagorean theory, a right triangle side lengths are a^2 + b ^2 = c ^2.

We know “c” the hypotenuse is 10 and “b” the leg is 8. We are looking for “a” or side length “x”

Fill in the known values.

a^2 + 8^2 = 10^2

a^2 + 64 = 100.

Subtract 64 from both sides to isolate “a”

a^2 +64 -64 = 100 -64

a^2 = 36

Now take the square root of both sides to solve for “a”

a = 6