Geometry G40b Right Trinagles Worksheet Page 6

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54. In the figure,
is a right triangle. AD is perpendicular to BC, and the measure of BD =
ABC
2 meters and DC = 8 meters. What is the measure of AC ?
A
2.8 m
B
4.5 m
C
8.9 m
D
10.0 m
55. A design is formed by joining isosceles right triangles and
right triangles as shown
0
0
60
30
closest
in the diagram. If the hypotenuse of the
triangle is 12 centimeters, which is
to
0
0
60
30
the length of one leg of the isosceles right triangle?
F
6 cm
G
7.2 cm
H
8.5 cm
J
10.4 cm
56. The drawing shows the measurements in a section of a circular design. How long is the
radius of the circle?
F
10 cm
G
8.7 cm
H
7 cm
J
4.3 cm
57. Altitude CE is drawn from right angle C of a triangle ABC forming right triangle ACE and
CBE . Which statement concerning the 3 triangles is true?
A
None of the triangles are similar.
B
Only triangles ACE and CBE are similar.
C
Triangle ABC is similar to only triangle ACE.
D
Triangle ABC is similar to both triangle ACE and CBE.

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