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The sides of a right triangle are 2x+2, 2x-1, 3x find value of x |
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Answer» Answer: 5 Step-by-step EXPLANATION: If these are the sides of a RIGHT triangle, they should FOLLOW the Pythagoras theorem. (2x-1)² + (2x+2)² = (3x)² (4x² - 4x + 1) + (4x² + 8x + 4) = 9x² 8x² + 4x + 5 = 9x² x² - 4x - 5 = 0 x² + x - 5x - 5 = 0 x(x + 1) - 5(x + 1) = 0 (x - 5)(x + 1) = 0 x = 5,-1 But sides can't have NEGATIVE length. Therefore, x=5 |
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