THE SIDES of right triangle is (x+60)and(x+30).the length of the sides are
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Height=5x cm
Base=(3x-1) cm
Area of triangle=1/2(b*h)
60=1/2[(3x-1)*5x]
60*2=(3x-1)*5x
120=15x^2-5x
15x^2-5x-120=0
Dividing both sides by 5,
3x^2-x-24=0
3x^2-9x+8x-24=0
3x(x-3)+8(x-3)=0
(x-3)=0,(3x+8)=0
x=3,x=-8/3
Since length cannot be -ve,so x=3.
Height=5x=15 cm , Base=3x-1=8 cm
By pythagoras theorem,
=(8)^2+(15)^2
=64+225
=289
hypotenuse=17 cm
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