MCQ - 118-11970

Correct Answer: D

Explanation:

One option is to use the Pythagorean Theorem.

Since we have an isosceles triangle, both legs must be congruent.

Plug in to get your answer.

${\displaystyle h=\sqrt{6^2+6^2}}$

${\displaystyle h=\sqrt{72}=\sqrt{36\cdot <!--\; \cdot \; -->2}=6\sqrt{2}}$

Or, you can remember the 45-45-90 identity, which states that the hypotenuse is ${\displaystyle \sqrt{2}}$ times the leg.