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Triangles are similar. Find the value of A |
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Answer» 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 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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