Question

The perimeter of 2 similar triangles ABC and LMC are 60 cm and 48 cm respectively. If AB = 10 cm, Find LM.

Answer 1

Perimeter of triangle $ABC=60$ cm

Perimeter of triangle $LMC=48$ cm

$AB=10$ cm

$LM=?$ cm

In similar triangles $ABC\&LMC,$

ratios of perimeters of the triangles are equal to the ratios of their respective sides.

$\frac{perimeteroftriangleABC}{perimeteroftriangleLMC}=\frac{AB}{LM}$

$\frac{60}{48}=\frac{10}{LM}$

$LM=\frac{10\times 48}{60}$

$LM=8$ cm