The base of a triangle is 5 cm longer than its height and the area of the triangle is 42 sq. Cm, then base of the triangle isa) 21 cm b) 12 cm c) 8.4 cm d) 13.4 cm
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Solution in the attachment; hope it helped.
The answer is (b) 12 cm.
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let X be the height of the triangle
then X+5 will be the length of the base
given; area=42sq.cm=1/2×b×h
=1/2(X+5)X or (X+5)X=84
=X^2+5X=84 or X^2+5X-84=0
solving this equation ,we get X=7&X+5=12
therefore base =X+5=12
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