SOLUTION: The question says: Find the lenth of DB given DB is and altitude of angle ADC, the are of Angle ADC is 14 square units, and AC is 7. how do I go about solving it?

Algebra ->  Triangles -> SOLUTION: The question says: Find the lenth of DB given DB is and altitude of angle ADC, the are of Angle ADC is 14 square units, and AC is 7. how do I go about solving it?      Log On


   

Question 810817: The question says: Find the lenth of DB given DB is and altitude of angle ADC, the are of Angle ADC is 14 square units, and AC is 7.
how do I go about solving it?
Answer by Charles3475(23) About Me  (Show Source):
You can put this solution on YOUR website!
The question says:
Find the length of DB given DB is an altitude of angle ADC, the area of Angle ADC is 14 square units, and AC is 7. How do I go about solving it?
Draw the Triangle ABC where AC is the base. Show an altitude (BD) from B to side AC.

B


A D C

The equation for the area of a triangle is:
Area= 1/2 (measure of base)(measure of altitude)
You have been given the area (Area = 14 square units) and the measure of a base (AC = 7 units).
Therefore 14=1/2(7)(measure of altitude)
Solving, the measure of the altitude is 4 units