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Q1.The hypotenuse of a right angled triangle is 20 cm. The difference between its other two sides is 4 cm. Find the length of the sides. |
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Answer» Answer: 19.6cm(20 cm) Step-by-step explanation: Let one of the sides be X then another side is 4 + x Applying Pythagoras theorem (20)² = (x)² + (x + 4)² 400 = x² + x² + 8x + 16 400 = 2x² + 8x + 16 2x² + 8x - 384 = 0 x² + 4x - 192 = 0 x² + 16x - 12x - 192 = 0 x(x + 16) - 12(x + 16) = 0 (x - 12)(x + 16) = 0 x= 12 or x = -16 But length can't be negative. So one of the side is 12 cm while the other is 16 cm You can verify this too! (12)² + (16)² = 144 + 256 = 400 Hypotenuse = √400 = 20 cm Hope This Helps You! |
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