Question

Triangle FGH is similar to triangle DEF. solve for p

Answer 1

Answer:

p = 16

Step-by-step explanation:

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

$\frac{FH}{DF} = \frac{FG}{DE}$

FH = 12

DF = p

FG = 24

DE = 32

Plug in the values

$\frac{12}{p} = \frac{24}{32}$

Cross multiply

$12*32 = 24*p$

$384 = 24p$

Divide both sides by 24

$\frac{384}{24} = \frac{24p}{24}$

$16 = p$

p = 16