the altitude of a right triangle is 7cm less than its base . if the hypotenuse is 13 cm find the other two sides
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the altitude of a right triangle is 7cm less than its base . if the hypotenuse is 13 cm find the other two sides
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Answer:
12 and 5
Step-by-step explanation:
let one side be x cm than other side will be x+7 cm
on applying Pythagoras theorem
we get x²+(x+7)²=13²
x²+x²+49+14x=169
2x²+14x-120=0
dividing whole equation by 2
x²+7x-60=0
x²+12x-5x-60=0
x(x+12)-5(x-12)=0
(x+12)(x-5)=0
which implies
x=-12,5
but side cant be negative
so x=5
hence other side is x+7 so 12
Answer:
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