Question

Find k. Write your answer in simplest radical form.

Answer 1

Answer:

k = 2$\sqrt{2}$

Step-by-step explanation:

This is a 45- 45- 90 triangle is isosceles , base angles are congruent

Then legs are congruent , both 2

Using Pythagoras' identity in the right triangle

k² = 2² + 2² = 4 + 4 = 8 ( take square root of both sides )

k = $\sqrt{8}$ = $\sqrt{4(2)}$ = $\sqrt{4}$ × $\sqrt{2}$ = 2$\sqrt{2}$