Exam 4 Math 1022 LSU (Sections 9.1-10.2)

When attempting to solve an oblique triangle given the lengths of two sides and the measure of an angle not included betwen the two sides, which of the following best describes this case? a. This case could result in a solution where there is not triangle, one unique triangle, or two unique triangles b. There is no triangle that satisfies the given conditions c. This case always results in a solution where there is one unique triangle d. This case always results in a solution where there are two unique triangles.

a

Which of the following describes the goal of solving right triangles? a. The goal of solving a right triangle is to determine the measure of all angles and the length of all sides 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 approximate the mesures of the two acute angles d. The goal of solving a right triangle is to use the Pythagorean Therorem to find the length of the hyptoenuse of the right triangle.

a

Which of the following statements accurately describes the relationship between the two acute angles of a right triangle? a. The measures of the two acute angles of a right triangle are always greater than or equal to 45 degrees. b. The two acute angles of a right triangle are always complementary c. The two acute angles of a right triangle are always supplementary d. The two acute angles of a right triangle are always congruent.

b

In the right triangle provided to the 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. a^2+b^2=c^2 b. sin B= b/c c. tan A= b/a d. cos A= b/c

c

Which of the following statements best descibes an oblique triangle? a. An oblique triangle must have three acute angles b. An oblique triangle cannont have an obtuse angle c. An oblique triangle cannot have a right triangle d. An oblique triangle must have one obtuse angle

c

Which two given pieces of information are NOT helpful when trying to solve a right triangle? a. The length of the side opposite of a specific acute angle and the length of a side adjacent to that same acute angle b. The length of the hypothenuse and the measure of an acute angle c. The measure of two acute angles d. The length of the said adjacent to a specific acute angle and the length of the hypotenuse of the right triangle

c

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

d

If S represents the length of a known side of an oblique triangle and if A represents the measure of a known angle, then which of the following triangles CANNOT be solved using the Law of Sines? a. SSA b. SAS c. ASA d. SAA

b