Question

Triangle ABC is similar to triangle DEF. What is the value of x ?

Answer 1

A

Explanation:

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

`(AC)/(DF)` =
`(BC)/(EF)` , substitute values

`(45)/(x+8)` =
`(30)/(25)` ( cross- multiply )

30(x + 8) = 1125 ( divide both sides by 30 )

x + 8 = 37.5 ( subtract 8 from both sides )

x = 29.5 → A