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The hypotenuse of a right triangle is 50 and the short leg is 30, find the projection of the leg onto the hypotenuse

The hypotenuse of a right triangle is 50 and the short leg is 30, find the projection of the leg onto the hypotenuse
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1 vote
The hypotenuse of a right triangle is 50 and the short leg is 30, find the projection of the leg onto the hypotenuse

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User Deltanovember
by
8.2k points

1 Answer

4 votes
Consider the attached figure. All the triangles shown are similar, so

CB/CA = CD/CB
30/50 = projection/30
projection = 30^2/50
projection = 18
The hypotenuse of a right triangle is 50 and the short leg is 30, find the projection-example-1
answered
User Baczek
by
8.1k points
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