Question

Find the length of CD.

Answer 1

Answer:

The answer to your question is CD = 4

Step-by-step explanation:

Data

AD = 8

BD = 2

CD = ?

Process

Use proportions to solve this problem. Compare triangle ACD and triangle CDB.

Large triangle     CD/AD

Small triangle      BD/CD

Equal both proportions

                            CD/BD = AD/CD

-Solve for CD

                             CD² = AD x BD

-Substitution

                              CD² = 8 x 2

-Simplification

                              CD² = 16

-Result

                              CD = 4