Scott needs to replace a broken window at his house. The window is shaped like a triangle with
dimensions shown below. If glass costs $18.75 per square foot, how much with the replacement
window cost?

Step-by-step explanation:

Find the volume of the triangle and then multiply it by the unit cost for the glass:

Supposing the glass is in the shape of an equilateral triangle of side length s.  The height of the triangle is s*sin 60 degrees.  Thus, the area of the triangle is  A = (1/2)(base)(height) = (1/2)(s)(s*sin 60 degrees or approximately

A = (1/2)(s^2)(1/3)√3 square feet.  This simplifies to

A = (1/6)√3s^2 ft^2.

Then the glass cost is (1/6)(√3)s^2($18.75 per ft^2).

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step-by-step explanation: