MATH 1022 LSU EXAM 4 QUESTIONS WITH VERIFIED
ACCURATE ANSWERS
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. - Answers - a. The goal of solving a right
triangle is to determine the measure of all angles and the length of all sides
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 - Answers - d. It does not matter
which angle to determine first
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. - Answers - b. The two
acute angles of a right triangle are always complementary
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 - Answers - c. tan A= b/a
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 - Answers - c. The measure of two acute angles
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 - Answers - c. An oblique triangle
cannot have a right triangle
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 - Answers - b. SAS
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. -
Answers - a. This case could result in a solution where there is not triangle, one unique
triangle, or two unique triangles
IF S represents the length of a known side of an oblique triangle and if A represents the
measure of a known angle, then for which of the following triangles must the law of
cosines be used to begin to solve the triangle? - Answers - The triangle with 3 S's.
which of the following phrases best describes the Law of Cosines? - Answers - The
square of any side of a triangle is equal to the sum of the squares of the remaining two
sides, minus twice the product of the two remaining sides and the cosine of the angle
between them.
If A,B, and C are the measures of the angles of any triangle and if a,b, and c are the
lenghts of the sides opposite the coresponding angles, then which of the following is a
form of the Law of Cosines? - Answers - b^2=a^2+c^2-2ac cosB
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
either the Law of Sines or the Law of Cosines? - Answers - triangle with 3 As
ACCURATE ANSWERS
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. - Answers - a. The goal of solving a right
triangle is to determine the measure of all angles and the length of all sides
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 - Answers - d. It does not matter
which angle to determine first
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. - Answers - b. The two
acute angles of a right triangle are always complementary
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 - Answers - c. tan A= b/a
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 - Answers - c. The measure of two acute angles
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 - Answers - c. An oblique triangle
cannot have a right triangle
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 - Answers - b. SAS
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. -
Answers - a. This case could result in a solution where there is not triangle, one unique
triangle, or two unique triangles
IF S represents the length of a known side of an oblique triangle and if A represents the
measure of a known angle, then for which of the following triangles must the law of
cosines be used to begin to solve the triangle? - Answers - The triangle with 3 S's.
which of the following phrases best describes the Law of Cosines? - Answers - The
square of any side of a triangle is equal to the sum of the squares of the remaining two
sides, minus twice the product of the two remaining sides and the cosine of the angle
between them.
If A,B, and C are the measures of the angles of any triangle and if a,b, and c are the
lenghts of the sides opposite the coresponding angles, then which of the following is a
form of the Law of Cosines? - Answers - b^2=a^2+c^2-2ac cosB
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
either the Law of Sines or the Law of Cosines? - Answers - triangle with 3 As
