Question

In the diagram below, PQ is parallel to MN . If MP=25, PQ=18, and MN=33, find the length of PO . Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.

Answer 1

Given that triangles MON and POQ are similar triangles, the length of PO is 30 units.

What are Similar Triangles?

The triangles that are similar to each other will have their corresponding sides proportional to each other.

Given:

MP = 25

PQ = 18

MN = 33

Triangles MON and POQ are similar triangles.

Let PO = x

Therefore:

MN/PQ = MO/PO

Substitute

33/18 = (25 + x)/x

Cross multiply

33x = 18(25 + x)

33x = 450 + 18x

33x - 18x = 450

15x = 450

x = 30

Therefore, given that triangles MON and POQ are similar triangles, the length of PO is 30 units.

Learn more about similar triangles on:

brainly.com/question/21874653