If ms = 20 m, mt = 9 m, and rm = 12 m, what is the value of im?

Given two similar right triangles MIT and MSR such that side MR is an extension of side MT, side MS is an extension of side MI and the side IT is parallel to side SR.

Also, give that If MS = 20 m, MT = 9 m, and RM = 12 m. To find the value of IM, we recall that the ratio of any two sides of a similar figure is equal to the ratio of the corresponding sides of the other triangle.

i.e. IM / MT = MS / RM
 IM / 9 = 20 / 12
IM = (9 x 20) / 12 = 15

Therefore, the measure of side IM is 15 m.