Question

Is this answer correct or am I completely solving this wrong??

Answer 1

Answer:

Step-by-step explanation:

∆ HFM is similar to ∆ PST. This means that the ratio of the length of each side of ∆HFM to the length of the corresponding side of ∆ PST is constant. Therefore,

HF/PS = FM/ST = HM/PT

Therefore,

45/9 = 30/PS

Cross multiplying, it becomes

PS × 45 = 30 × 9 = 270

PS = 270/45 = 6

45/9 = 35/ST

Cross multiplying, it becomes

ST × 45 = 35 × 9 = 315

ST = 315/45

ST = 7

Therefore, the perimeter if ∆PST is

9 + 7 + 6 = 22