Question 384691
the base of a triangle is 4 cm greater than the height  the area is 16 cm^2 find the height and the lenght of the base.
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height = h
base = h+3
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1/2 * base* height = area
1/2*h*(h+3)=16
multiply by 2
h(h+3)=32
h^2+3h=32

h^2+3h-32=0
Find roots using quadtratic formula
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a=1,b=3,c=-32
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b^2-4ac=137
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{{{x1=(-3+sqrt(137))/2}}}
x1=4.35 cm
{{{x2=(-3-sqrt(137))/2}}}
x2=-7.35 (ignore)
{{{(highlight(Height = 4.35cm
base = 7.35cm))}}}