If ΔАBC ~ ΔPQR, PQ = 5 cm, perimeter of ΔPQR = 20 cm, AB = 7.5 cm, then perimeter of ABC is ______.

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KollegeApply · Accepted Answer

If ΔАBC ~ ΔPQR, PQ = 5 cm, perimeter of ΔPQR = 20 cm, AB = 7.5 cm, then perimeter of ABC is 30 cm. Explanation: Since △ABC∼△PQR, the ratio of corresponding sides equals the ratio of their perimeters. `"Perimeter of ABC"/"Perimeter of PQR" = (AB)/(PQ)` Substitute the given values: `"Perimeter of ABC"/20 = 7.$\frac{5}{5}$ "Perimeter of ABC"/20 = $\frac{3}{2}$ "Perimeter of ABC" = 20 xx $\frac{3}{2}$` $\therefore$ Perimeter of ABC = 30 cm

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