AnswersFall 24 GMS Geometry Concepts and Connections BSolving for Angle Measures of Right Triangles

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Which set of side lengths forms a right triangle?

A
2, 3, 13
B
4, 6, 10
C
9, 12, 18
D
15, 36, 39
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Which equation can be used to find x, the length of the hypotenuse of the right triangle?

Question illustration
A
18 + 24 = x
Option A
B
18 squared + 24 = x
Option B
C
(18 + 24) squared = x squared
Option C
D
18 squared + 24 squared = x squared
Option D
23

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.

Question illustration
A
6.5 ft
B
ft
Option B
C
13 ft
D
ft
Option D
24

Which expressions can be used to find m∠BAC? Select three options.

A
cos−1
Option A
B
cos−1
Option B
C
sin−1
Option C
D
sin−1
Option D
E
tan−1
Option E
25

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.What is the smallest possible perimeter of the triangle, rounded to the nearest tenth?

A
41.0 in.
B
51.2 in.
C
72.4 in.
D
81.2 in.

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