Practicing Success
ΔABC ∼ ΔDEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ΔDEF = 25 cm, then the perimeter of ΔABC is: |
40 cm 30 cm 35 cm 45 cm |
35 cm |
We know that, If triangles are similar then the ratio of the perimeter of triangles and corresponding sides are equal. AB = 9.1 cm DE = 6.5 cm /(Perimeter of Δ DEF) \(\frac{AB}{DE}\) = \(\frac{BC}{CF}\) = \(\frac{CA}{FD}\) = \(\frac{ Perimeter \; of \; Δ ABC }{ Perimeter \; of \; Δ DEF }\) = \(\frac{9.1}{6.5}\) = \(\frac{ Perimeter \; of \; Δ ABC }{ 25 }\) = Perimeter of Δ ABC = 35 cm |