Question

Triangles are similar. Find the value of A

Answer 1

Answer:

a = 14.46

Step-by-step explanation:

(6²-a²)^½ = [108 - (12-a)²]^½

6² - a² = 108 - 144 + a² -24a

36 - 2a² = -36 - 24a

72 - 2a² + 24a = 0

2a² - 24a -72 = 0

a = -(-24) ± √[(-24)² - 4×2×-72]

2 × 2

a = 24 ± √[576 + 576] = 24 ± 24√2 = 6±6√2

4 4

a = 6(1+1.41) ≠ 6(1-1.41)

a = 14.46