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geometry

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14. Question says that there is a triangle with a base of x units and height h units and two sides of length 10 units. Answer the following questions:

• Draw a representation of this situation (the triangle).
• Find a formula for h in terms of x. h = square root {10^2-(x/2)^2}
• What is the domain of this function?
• Graph this function over its domain.
• How does h change as x changes?
• Find a formula for the area of the triangle in terms of x only. Graph this function. ½*x*
• How does the area of the triangle change as x changes? Area increases
• For what value of x is the area of the triangle largest?
• For what value of h is the area of the triangle largest?

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