Question

If ΔJKL~ΔMKN, find the value of x.

Answer 1

x = 14

Explanation:

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

`(KL)/(KN)` =
`(JL)/(MN)` , substitute values

`(32)/(12)` =
`(3x-2)/(x+1)` ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14