How do you express the area of a triangle as the function of its height?

A seamstress is designing a triangular scarf so that the length of the base of the triangle, in inches, is 7 less than twice the height, h. Express the area of the scarf as a function of the height.

I know the base would be 2h-7
and the height would be h.

But I have no idea where to go from there or how to express the area as a function of the height.

A = 1/2 * b * h

b = 2h – 7

A = (2h – 7) * h / 2

A = (2h^2 – 7h) / 2

That’s all it is.

One Response to “How do you express the area of a triangle as the function of its height?”

  1. Captain Matticus, LandPiratesInc on January 24th, 2010 at 8:04 am

    A = 1/2 * b * h

    b = 2h – 7

    A = (2h – 7) * h / 2

    A = (2h^2 – 7h) / 2

    That’s all it is.
    References :

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