Question

the lengths of the sides of the triangle are 2/3 the lengths of the sides of a similar triangle, if the side of the larger triangle is 36 millimeters, what is the measure of the matching side of the smaller triangle?

Answer 1

Answer: The matching side of the smaller triangle measures 24 millimeters.

Step-by-step explanation: From the details given, both triangles are similar by virtue of the measurement of their sides, that is, SSS. Also the smaller triangle measures two-thirds of the larger triangle.

What this means is that every time we measure the larger triangle, for example as X millimeters, we can scale it down to the smaller one by using the two-thirds ratio of similarity. In other words, if the larger one measures 36 mm, then the smaller one would measure;

A = 36 x (2/3)

A = 24

Therefore the measure of the matching side of the smaller triangle equals 24 millimeters