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## Geometry (all content)

### Unit 12: Lesson 5

Solving problems with similar and congruent triangles

# Use similar triangles

You might need: Calculator

## Problem

In the diagram below, D, R, with, \overrightarrow, on top is perpendicular to start overline, O, P, end overline.
Triangle A D P and triangle D U O, where point D is between point P and O on segment P O, and points A and U are on the same half-plane relative to line P O. Angle A P D is a right angle. Ray D R bisects angle A D U. A dashed line segment intersects segment D O at a right angle at point M. It has endpoints M and U. Side M O is four units. Side D M is ten units. Side D P is three point seventy-five units.
Find the area of triangle, D, U, O.