(e) The area of an equilateral triangle is x,
its perimeter is y and its height is z. What
is the value of YZ?
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Area=x
Height=z {Altitude}
Perimeter=y
Area {Formula}=1/2*Base*Altitude=x
In an equilateral triangle, all sides are equal.
So, perimeter= Sum of all sides=3*side=3*Base {Since, Side=Base}
Or,3*Base=y(Perimeter)
Or, Base=y/3
A/C, Area=1/2*y/3*z
Or, x=1/2*y/3*z
Or, x=(yx)/6
Or, 6x=yz
Hence,yx=6x.
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