# SOLUTION: Base of a triangle is 4cm greater than the height. The area is 30cm^2 Find the height and the length

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 Question 202646: Base of a triangle is 4cm greater than the height. The area is 30cm^2 Find the height and the lengthAnswer by rajagopalan(158)   (Show Source): You can put this solution on YOUR website!Let height=x then base=x+4 area=1/2*b*h =(1/2)*(x)*(x+4) =1/2(x^2+4x) 1/2(x^2+4x)=30 x^2+4x=30*2 x^2+4x-60=0 x^2+10x-6x-60=0 x(x+10)-6(x+10)=0 (x-6)(x+10)=0 giving x=6 or -10 Ignoring negative value we get x=6 Answer: Height=6 Base=10 Verification: Area=1/2*b*h =1/2*6*10 =3*10 =30 sq units okay