Question 958806
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A=area=144 sq m; h=height; b=base=1/2h
{{{A=(1/2)bh}}} Substitute for b
{{{144m^2=(1/2)*h*(1/2)h}}}
{{{144m^2=(1/4)(h^2)}}} Multiply each side by 4.
{{{576m^2=h^2}}} Find the square root of each side.
{{{24m=h}}} ANSWER The height is 24 meters.
CHECK:
b=1/2h=1/2(24m)=12m the base is 12 meters
A=1/2bh
144 sq m=(1/2)(12m)(24m)
144 sq m=144 sq m