7
AssignmentMultiple Choice

Solving for Angle Measures of Right Triangles

Question 7 • *CR CCSS Math 2 S2 [M2960OX]

Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.

Answer
A
18° and 39°
B
23° and 67°
C
43° and 47°
D
65° and 25°

Explanation

The longest side, 13, is the hypotenuse, so the triangle is right-angled. The acute angle opposite the side of length 5 is sin⁻¹(5/13) ≈ 23°, and the other acute angle is 90° − 23° ≈ 67°; therefore, the angles are 23° and 67°.

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