Question

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Let x be the base of the triangle, then the altitude will be (x−7).

By Pythagoras theorem,

x
2
+(x−7)
2
=(13)
2


2x
2
−14x+49−169=0

2x
2
−14x−120=0

x
2
−7x−60=0

x
2
−12x+5x−60=0

(x−12)(x+5)=0

x=12,x=−5

Since the side of the triangle cannot be negative, so the base of the triangle is 12cm and the altitude of the triangle will be 12−7=5cm.​

Answer 1

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Explanation:

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