CPM Homework Banner

Home > CC3 > Chapter 6 > Lesson 6.2.5 > Problem 6-92


Sketch the two similar triangles at right on your own paper. Find the scale factor and the missing side lengths.  

A right triangle with vertical side, 8 mm, horizontal side, 6 mm,  and hypotenuse, y.

A right triangle with vertical side, x, horizontal side, 18 mm, and hypotenuse, 30mm.

Since the scale factor applies to all sides of the shape equally, the two triangles share a common side ratio.

Based on the triangles above, use the given side lengths to find the scale factor ratio between the two triangles.
While each triangle is missing a certain side length, do you notice a pair of sides that are both apparent?

Use the scale factor you have solved for to determine the missing side lengths by either multiplying or dividing.

Scale Factor:
Now try solving for and .