Question

This is a 45-45-90 triangle.
What is the measure of x?
72
x = [?]

Answer 1

5*sqrt2

Explanation:

It would be same because both sides are equal in length sinve it is a 45-45-90 triangle

Answer 2

x = 7

Explanation:

Since it is a 45- 45- 90 triangle then it is isosceles with the 2 legs congruent, both x

Using Pythagoras' identity in the right triangle

x² + x² = (7
`√(2)` )²

2x² = 98 ( divide both sides by 2 )

x² = 49 ( take square root of both sides )

x =
`√(49)` = 7