# geometry

posted by
**nisha**
.

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?