Question

What is BD?
A. 10
B. 8
C. 4
`√(x)`5
D. 2
`√(x)`5

Answer 1

B. 8

Explanation:

Triangles ADB, ABC and BDC are similar.

Therefore, we can use ratios to find BD.

Using the ratio of the long leg to the short leg of ΔBDC and ΔADB:

`(BD)/(16)=(4)/(BD)`

Cross multiply and solve for BD:

`\implies BD^2=4 * 16`

`\implies BD^2=64`

`\implies BD=√(64)`

`\implies BD=8`