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
