Question

Example: if XYZ - RST, find the value of x.

Answer 1

x = 12

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

`(XY)/(RS)` =
`(XZ)/(RT)` ( substitute values )

`(5x-3)/(3x+2)` =
`(60)/(40)` =
`(3)/(2)` ( cross- multiply )

2(5x - 3) = 3(3x + 2) ← distribute parenthesis on both sides )

10x - 6 = 9x + 6 ( subtract 9x from both sides )

x - 6 = 6 ( add 6 to both sides )

x = 12