Point M and K are the midpoints of sides AB and AC of triangle ABC, respectively.

Point M and K are the midpoints of sides AB and AC of triangle ABC, respectively. Find the perimeter of triangle ABC if the perimeter of triangle MAC is 17cm.

Let’s draw a straight line MK. We got the MAC triangle. The MAC triangle is similar to the ABC triangle (A is the general angle, the AMK angle = the ABC angle) From the similarity of triangles it follows => P triangle MAC = 1/2 P triangle ABC So, P triangle ABC = 17 * 2 = 34cm