The perimeter of two similar triangles RST and IJK (in correspondence) are 64 cm and 56 cm respectively. If IJ = 16 cm, then what is the length of RS? |
18 cm 16 cm 14 cm 8 cm |
14 cm |
Concept Used The ratio of the perimeter of 2 similar triangles is equal to the ratio of the corresponding sides. \(\frac{Perimeter\; of\; ABC}{Perimeter\;of\;PQR}\) = \(\frac{AB}{PQ}\) = \(\frac{BC}{QR}\) = \(\frac{AC}{PR}\) Calculation \(\Delta \)ABC and \(\Delta \)PQR are similar so \(\frac{AB}{PQ}\) = \(\frac{Perimeter\; of\; ABC}{Perimeter\;of\;PQR}\) \(\frac{16}{PQ}\) = \(\frac{64}{56}\) PQ = 14 cm Therefore, PQ is 14 cm. |