The sides of a triangle are 48 cm, 24 cm, 56 cm. Find the perimeter of a triangle similar to this one if its largest side is 7 cm.

Given:

triangle ABC,

AB = 48 centimeters,

BC = 24 centimeters,

AC = 56 centimeters.

triangle KPE,

triangle KPE is similar to triangle ABC,

КP = 7 centimeters.

Find the perimeter of the triangle KPE, that is, P KPE -?

Decision:

Since the KPE triangle is similar to the ABC triangle, their sides are proportional, that is, AC: KP = AB: PE = BC: KE.

Similarity coefficient k = AC: KP;

k = 56: 7;

k = 8.

Then PE = 48: 8 = 6 (centimeters),

KE = 24: 8 = 3 (centimeters).

P KPE = 7 + 6 + 3 = 16 (centimeters).

Answer: 16 centimeters.