Which trigonometric ratio is used to find the opposite side in a right-angle triangle?
Introduction to the Cosine Rule for Finding Missing Lengths and Angles in Triangles

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Mathematics
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University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Secant
Cosine
Tangent
Sine
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is required to apply the cosine rule to find a missing side?
One side and one angle
Two angles and a side
Two sides and the included angle
All three angles
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the derivation of the cosine rule, which theorem is used to calculate the height of the triangle?
Area Formula
Pythagoras' Theorem
Sine Rule
Law of Tangents
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the cosine rule when finding a missing side?
a^2 = b^2 + c^2 - 2bc cos A
a^2 = b^2 + c^2 - 2bc sin A
a^2 = b^2 + c^2 + 2bc cos A
a^2 = b^2 - c^2 + 2bc cos A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the cosine rule to find an angle, what must you do with the formula?
Multiply by 2
Rearrange to solve for cos A
Add all sides
Subtract the smallest side
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example given, what is the missing side length calculated using the cosine rule?
35 kilometers
68 kilometers
90 kilometers
83.46 kilometers
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle found using the cosine rule in the example provided?
90 degrees
107.7 degrees
68 degrees
35 degrees
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