15.7k views
0 votes
Help please I’m stuck

Help please I’m stuck-example-1
User Komar
by
6.4k points

2 Answers

5 votes

Explanation:


\because \triangle FGH \sim \triangle DEF.. (given) \\\\</p><p>\therefore (DF)/(FH) = (DE)/(FG)... (csst) \\\\</p><p></p><p>\therefore (p)/(12) = (32)/(24) \\ \\ \therefore \: p = (32)/(24) * 12 \\ \\ \therefore \: p = (32)/(2) \\ \\ \huge \red{ \boxed{\therefore \: p =16}}

User Mans
by
7.0k points
4 votes

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

User GRoutar
by
7.2k points