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In the figure above, ABCD is a parallelogram, Line DE is perpendicular to Line AB, Line BG is perpendicular to Line CD, and EBGD is a square. If BG = 12 CM and BC = 13 CM, then find AB |
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Answer» step explanation:☛ square , has same side equal:BG = GD = DE = EB = 12 cm⇒ In ∆DEA,DE = 12 cm, AD = 13 cm.✍ so we want to find AE ;✈ (by using PYTHAGORAS Theorem)(AE)² + (DE)² = (AD)²(AE)² + (12)² = (13)²(AE)² = (13 × 13) - (12 × 12)(AE)² = 169 - 144(AE)² = 25AE = √25AE = 5¤ According to the question :AE + EB = AB12 + 5 = ABAB = 17 cm |
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