Using Proportions

Question

CD is the altitude to the hypotenuse of right triangle ABC. AD=2m and DB 3m. By using proportions compute the exact value of each

Please help!

Answer 1

2 / CD = CD / 3, Altitude is mean proportion between two segments

6 = CD²

Can you sovle for CD and answer?

Answer 2

The following figure shows the triangle:

〈 DCB is the complement of 〈ABC = 〈BAC

〈 DCA is the complement of 〈BAC = 〈ABC

3/CD = CD/2

Cross multiplying we get:

CD² = 3(2)

CD = √6