Question

7 similarity and pythagorean theorem

Answer 1

A

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

`(LM)/(LU)` =
`(LN)/(LT)` , substitute values

`(3x+12)/(25)` =
`(45)/(25)` ( cross- multiply )

25(3x + 12) = 1125 ( divide both sides by 25 )

3x + 12 = 45 ( subtract 12 from both sides )

3x = 33 ( divide both sides by 3 )

x = 11 → A