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The height of a right TRIANGLE IS 7 CM LESS THAN ITS BASE. If the hypotenuse is 13 cm, form the quadratic equation to find the base of the triangle. |
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Answer» By Pythagoras theorem : Hypotenuse2 = perpendicular2 + base2 Given, height of a right TRIANGLE IS 7 CM LESS THAN ITS BASE and the hypotenuse is 13 cm. Let the base be ‘x’ ⇒ 132 = (x – 7)2 + x2 ⇒ 169 = x2 – 14x + 49 + x2 ⇒ x2 – 7x – 60 = 0 |
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