Question
Download Solution PDFIf \(\triangle \mathrm{ABC} \sim \triangle \mathrm{PQR}\), AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of \(\triangle \mathrm{ABC} \text {. }\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm
Calculation :
In ΔPQR ratio of sides will be
⇒ 6 : 12 : 9 = 2 : 4 : 3
Since \(\triangle \mathrm{ABC} \sim \triangle \mathrm{PQR}\)
So, ratio of sides will be same.
⇒ 2 unit = 4
⇒ 1 unit = 2
⇒ 2 × 2 : 4 × 2 : 3 × 2
⇒ 4 : 8 : 6
Perimeter of ΔABC = (4 + 8 + 6) = 18
∴ The correct answer is 18 cm.
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