Question

The hypotenuse of an isosceles triangles measures 10 inches long. What is the length of one leg of the triangle?

Answer 1

Answer:b

On edge

Explanation:

Answer 2

Answer: B)
`(10)/(√(2))`

For any isosceles right triangle (aka 45-45-90 triangle), the hypotenuse is always equal to sqrt(2) times the leg. If x is the leg and y is the hypotenuse, then

`y = x*√(2)`

which solves to

`x = (y)/(√(2))`

from here we plug in the given hypotenuse y = 10 to get the final answer. Optionally we could rationalize the denominator, but your teacher has chosen not to.