Question

Triangle FGH is similar to triangle DEF. solve for p

Answer 1

p = 16

Explanation:

Given that ∆FGH is similar to ∆DEF, it follows that the ratio of their corresponding side lengths would be equal. Therefore:

`(FH)/(DF) = (FG)/(DE)`

FH = 12

DF = p

FG = 24

DE = 32

Plug in the values

`(12)/(p) = (24)/(32)`

Cross multiply

`12*32 = 24*p`

`384 = 24p`

Divide both sides by 24

`(384)/(24) = (24p)/(24)`

`16 = p`

p = 16