LSU Math 1022 Section 9.1 Right Triangle Applications

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When solving a right​ triangle, if the lengths of all three sides of the triangle are​ known, then which acute angle must be determined​ first? A.Always determine the measure of the obtuse angle first. B.It does not matter which angle to determine first. C.Always determine the measure of the larger of the two acute angles first. D.Always determine the measure of the smaller of the two acute angles first.

B

Which two given pieces of information are not helpful when trying to solve a right​ triangle? A.The length of the hypotenuse and the measure of an acute angle B.The measure of two acute angles C.The length of the side adjacent to a specific acute angle and the length of the hypotenuse of the right triangle D.The length of the side opposite of a specific acute angle and the length of a side adjacent to that same acute angle

B

Which of the following statements accurately describes the relationship between the two acute angles of a right​ triangle? A.The two acute angles of a right triangle are always supplementary. B.The two acute angles of a right triangle are always congruent. C.The two acute angles of a right triangle are always complementary. D.The measures of the two acute angles of a right triangle are always greater than or equal to 45 degrees .

C

In the right triangle provided to the​ right, suppose that the lengths of sides a and c are known. ​ Also, suppose that the measures of angle A and angle B are known. Which of the following equations cannot be used to determine the length of side​ b? A.sin B=b/c B.a^2+b^2=c^2 C.cosA=b/c D.tanA=b/a

D

Which of the following describes the goal of solving right​ triangles? A.The goal of solving a right triangle is to approximate the measures of the two acute angles. B.The goal of solving a right triangle is to determine the area of the triangle and the perimeter of the triangle. C.The goal of solving a right triangle is to use the Pythagorean Theorem to find the length of the hypotenuse of the right triangle. D.The goal of solving a right triangle is to determine the measure of all angles and the length of all sides.

D


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