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The height of a tuangle of area 108com 2.
is 6com more than its base, fuh its
bast and height.
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Answer:
Given that,
area of the triangle=108cm²
Let base of the triangle be =x cm
then height=(x+6)cm
Area of the triangle=1/2×base × height
108=1/2(x)(x+6)
108×2=x²+6x
216=x²+6x
x²+6x-216=0
x=-b±√b²-4ac/2a
x=-(6)±√(6)²-4(1)(-216)/2(1)
x=-6±√36+220/2
x=-6±√256/2
x=-6±16/2
x=-6-16/2. or. x=-6+16/2
x=-22/2. or x=10/2
x=-11 or x=5
we neglect x=-11
therefore base=5cm
height=5+6=11cm
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