Question

Find the value of x.

Answer 1

`\huge\boxed{x=√(66)}`

Explanation:

ΔADC and ΔABD are similar (AAA)

Therefore the cooresponging sides are in proportion:

`(AD)/(AC)=(AB)/(AD)`

Substitute

`AD=x;\ AC=6+5=11;\ AB=6`

`(x)/(11)=(6)/(x)` cross multiply

`(x)(x)=(11)(6)\\\\x^2=66\to x=√(66)`