Question

what are the exact values of a and b?
o a = 7/2, b = 7√3/2
o a = 7√3/2, b = 7/2
o a = 7/2, b = 7√3
o a = 7/2, b = 7√2/2

Explanation:

Step1: Identify triangle type

30-60-90 right triangle, right-angled at C.

Step2: Determine hypotenuse

Hypotenuse AB = 7 (opposite right angle C).

Step3: Find side a (opposite 30°)

a = 7/2 (30° opposite = hypotenuse/2).

Step4: Find side b (adjacent to 30°)

b = 7√3/2 (60° opposite = (hypotenuse/2)√3).

Answer:

A. a = 7/2, b = 7√3/2