Question

Triangle FGH is similar to Triangle DEF. Solve for P.

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(i need this today)

Answer 1

p = 16

Explanation:

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

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

`(p)/(12)` =
`(32)/(24)` ( cross- multiply )

24p = 12 × 32 = 384 ( divide both sides by 24 )

p = 16