Regents Exam Questions G.G.47: Similarity 1
Name: ________________________
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G.G.47: Similarity in Right Triangles Classwork
In a right triangle, an altitude drawn from the vertex of the right angle
to the hypotenuse forms two right triangles.
You can write proportions comparing the side lengths of the triangles
formed by the altitude to the hypotenuse of a right triangle.
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1 In the diagram below of right triangle ABC, altitude CD is drawn to hypotenuse AB.
If AD  3 and DB  12 , what is the length of altitude CD?
1) 6
3) 3
2) 6 5
4) 3 5
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2 In the diagram below of right triangle ABC, altitude BD is drawn to hypotenuse AC, AC  16 , and CD  7 .
What is the length of BD ?
1) 3 7
2)
4 7
3)
4)
1
7 3
12
Regents Exam Questions G.G.47: Similarity 1
Name: ________________________
www.jmap.org
____
3 In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm,
respectively. Altitude CD is drawn to the hypotenuse of ABC.
What is the length of AD to the nearest tenth of a centimeter?
1) 3.6
3) 6.4
2) 6.0
4) 4.0
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4 In right triangle ABC shown in the diagram below, altitude BD is drawn to hypotenuse AC , CD  12 , and
AD  3.
What is the length of AB?
1) 5 3
2) 6
3)
4)
3 5
9
5 In the diagram below of right triangle ACB, altitude CD intersects AB at D. If AD  3 and DB  4 , find the
length of CD in simplest radical form.
2