This type of problem involves relationships among the lengths of the sides and altitude, area, and

perimeter of a triangle. We need to focus on the

area formula which requires a measurement of the

base and altitude, which we call

**h** for “height.” Finding either of these quantities requires different approaches depending on whether the

triangle is equilateral, right, or neither. There are formulas for an

equilateral triangle that relate

**h** to the

length of a

side and that relate the

area to the

length of a side. In a right triangle, we may have to apply the

Pythagorean Theorem or use basic trigonometry with sine, cosine, or tangent in order to calculate

**h** or

**b**.