Given:isosceles trapezoid MNPQ with QP = 18 and m∠M = 120° the bisectors of ∠s MQP and NPQ meet at point T on MN. Find:the perimeter of MNPQ

Question

Consider the following figure.

18

Given:isosceles trapezoid MNPQ with QP = 18 and m∠M = 120°

the bisectors of ∠s MQP and NPQ meet at point T on MN

Find:the perimeter of MNPQ

Answer 1

This is so much easier to see if I can develop it in front of you. I am assuming that you know about special right triangles, specifically a 30-60-90 right triangle (short side, the one across from the 30 degree angle = N; the long side, the one across from the 60 degree angle = N√3; the hypotenuse = 2N)

Please see video.