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5 votes
Use similar triangles

Use similar triangles-example-1
User Bobbaluba
by
5.4k points

1 Answer

5 votes

Answer:

84 square units

Explanation:

Triangles DUM and DAP are similar, so their corresponding dimensions are proportional.

UM/AP = MD/PD

UM/4.5 = 10/3.75

UM = (4.5)(10)/3.75 = 12

The area of triangle DUO is ...

A = 1/2bh

A = 1/2(DO)(UM) = 1/2(14)(12) = 84 . . . square units

The area of triangle DUO is 84 square units.

User Lebert
by
4.5k points
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