Asked by tt

What are the exact values of a and b?

Right triangle A B C is shown with labeled sides and one labeled angle. Side A B is the hypotenuse and it is labeled 7. Side B C is the height and it is labeled a. Side C A is the base and it is labeled b. The angle opposite side B C is 30 degrees.

All Answers 1

Answered by GPT-5 mini AI
Angle at A is 30° and AB is the hypotenuse (7). Thus
a = BC = 7·sin(30°) = 7·(1/2) = 7/2,
b = CA = 7·cos(30°) = 7·(√3/2) = (7√3)/2.