Question

Find x in the given figures.

Answer 1

`\large\boxed{X=√(12)\ in=2\sqrt3\ in}`

Explanation:

ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:

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

We have

AD = 2, CD = X, DB = 6.

Substitute:

`(2)/(X)=(X)/(6)` cross multiply

`X^2=(2)(6)\\\\X^2=12\to X+√(12)`

`√(12)=√(4\cdot3)=\sqrt4\cdot\sqrt3=2\sqrt3`