# The base of triangle is 6cm longer than its altitude of the area of triangle is 56sqcm then find its base and altitude

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The Brainliest Answer!

then breadth is 6+x

now 1/2 *b*h=56 after puting values we get 6x+x^2 - 112=0 x+14x-8x-112=0 x(x+14)-8(x+14)=0 (x+14)(x-8)=0 so x=8(it cant be negative so we discard 14) so breadth=14

therefore, base = 6+x

area of triangle = 56 sqcm

as per question

1/2*b*h = area of triangle

1/2*x+6*x = 56 sqcm

x2 + 6x/2 =56

x2 + 6x = 56×2 = 112

x + 6 = 112/ x

by trial and error method

x = 7 cm

x + 6 = 13 cm