area of traingle is 90² . find the lenght of base if base is 3 more than height.
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Explanation:
Given :
Area of triangle =90 sq. cm
base=3+height
Area of triangle =1/2 x base x height
90=1/2 x 3+h x h
90x2= 3h+h2
180=3h+h2
h2 +3h -180= 0
h2 +15h -12h -180 =0
h(h+15) -12(h+15)=0
(h+15)(h-12)=0
h+15=0. or h-12=0
h= -15. or h= 12
Height cannot be negative so h=12 cm
Base =h+3
=12+3
=15 cm
Hope it helps you
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