Question

Please help me and show ur work (multiple choice)m

Answer 1

A

Explanation:

This is a 45 45 90 triangle since it has 45 and a 90 degree angle so using triangle interior theorem, the third angle is 45.

The legs of a 45 45 90 triangle are congruent so only A is right.

But since you want the work

The length of the hypotenuse in 45 45 90 triangle is sqr root of 2 times more than both of the legs so

let divide sqr root of 2 by the hypotenuse to find the legs.

`(4 √(2) )/( √(2) ) = 4`

To check our work let use the pythagorean theorem, since it a right angle

`{4}^(2) + {4}^(2) =h {}^(2)`

`16 + 16 = {h}^(2)`

`32 = {h}^(2)`

`√(32)`

`√(16) * √(2)`

`4 * √(2)`

`4 √(2)`

so it is correct.