Question

Please help asap!!




(character requirement)​

Answer 1

C. 42

Explanation:

First, we do 180-90-30=60 to find the missing angle of the rightmost triangle. By AAS, we can say the triangles are congruent.

Next, to find the hypotenuse, we use the 30-60-90 triangle rule (the shortest side=x, medium side=x(sqrt 3), and the largest side=2x). Since 30 (the smallest angle) is across from x, we can say the hypotenuse is 2(5)=10.

Since the triangles are congruent, we end up with 10+10+5+5+12=42