Question

Solve for X

A: 12.5
B: 5
C: 6
`√(3)`
D:12

Answer 1

bear in mind that, a perpendicular line stemming from the right-angle like so, creates three similar triangles, a large one, containing the other two smaller ones, a medium and a small.

so.. .we can just use the medium and small proportions.

Check the picture below.

Answer 2

D. 12

Explanation:

(LOOK AT THE PICTURE)

ΔADC and ΔCDB are similar (AAA). Therefore the corresponding sides are in proportion:

`(AD)/(CD)=(CD)/(DB)`

We have

`AD=16,\ CD=x,\ DB=9`

Substitute:

`(16)/(x)=(x)/(9)` cross multiply

`x^2=(9)(16)\to x=√((9)(16))\\\\x=(\sqrt9)(√(16))\\\\x=(3)(4)\\\\x=12`