Triangles are similar. Find the value of A
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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
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