Q. 74.1( 22 Votes )

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Answer :

let the base of the triangle be x cm and altitude be y cm

Given base = 4 + y


Area of the triangle = 1/2 × base × altitude


48 = 1/2 × (4 + y) × y


96 = 4y + y2


y2 + 4y – 96 = 0


y2 + 12y - 8 y – 96 = 0


y( y + 12) - 8 ( y + 12) = 0


(y - 8) ( y + 12) = 0


y = 8 or - 12


Since altitude cannot be negative y = 8


base = 4 + 8 = 12 cm


Hence, Base = 12 cm; Altitude = 8 cm


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