Question

If ALMN - ALOP by the SAS similarity theorem, what is LM? Show your work.

Answer 1

LM = 40

Explanation:

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

`(LM)/(LO)` =
`(LN)/(LP)` ( substitute values )

`(LM)/(5)` =
`(14+2)/(2)` =
`(16)/(2)` = 8 ( multiply both sides by 5 )

LM = 5 × 8 = 40