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InterviewSolution
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The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides. |
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Answer» let base be`x`cm altitude`= (x-7)`cm hypotenuse`= 13`cm acc to pythagoras theorem `x^2 + (x-7)^2 = 13^2` `x^2 + x^2 - 14x + 49 = 169` `2x^2 - 14x - 120=0` `x^2 - 7x - 60=0` `x^2 - 12x + 5x - 60=0` `x(x-12)+5(x-12)=0` `(x-12)(x+5)=0` `x-12=0 or x+5=0` `x=12,-5` base cant be negative so `x=12` answer |
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