The figure shows 2 right triangles, triangle r s t with right angle s and triangle q r t with right angle r. the measure of angle r t s is 60 degrees. the measure of angle q t r is 45 degrees. the length of side r s is 2 square root 3. the length of side q r is x. what is the value of x?

Consider right triangle RQT. In this triangle , then . Thus the triangle RQT is isosceles and RQ=RT=x.

Consider right triangle RST. In this triangle , then . The leg ST is opposite to the angle of 30°, so . 

For the right triangle RTS use the Pythagorean theorem:

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je

i think the answer is b.

step-by-step explanation:

not 100% sure though.