Answer: The value of p is 16
Explanation:
Triangle FGH is similar to triangle DEF. This means that the ratio of the length of each side of ∆FGH to the length of the corresponding side of ∆DEF is constant. Therefore,
FG/DE = GH/EF = FH/DF
Therefore,
12/p = 16.5/22
Cross multiplying, it becomes
p × 16.5 = 12 × 22
16.5p = 264
Dividing the left hand side and the right hand side of the equation by 16.5, it becomes
16.5p/16.5 = 264/16.5
p = 16