34. MULtI-STEP PROBLEM Recall the formula for the area of a triangle, A=1/2bh, where b is the length of the base and h is the height. The height of a triangle is the length of an altitude.
a triangle is the length of an altitude.
a. Make a sketch of ΔABC. Find CD, the height of the triangle (the length of the altitude to side AB).
b. Use CD and AB to find the area of ΔABC.
c. Draw BE, the altitude to the line containing side AC.
d. Use the results of part (b) to find the length of BE.
e. Writing Write a formula for the length of an altitude in terms of the base and the area of the triangle. Explain.