Solving Triangles Law of Sines and Cosines
Authored by Anthony Clark
Mathematics
12th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is required to use the Law of Cosines to find a missing side in a triangle?
All three angles
Only one side and one angle
Two angles and any side
Two sides and the included angle
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which scenario is an example of when you would use the Law of Cosines?
To find the length of a side in a triangle when two sides and the included angle are known
To calculate the area of a square
To determine the height of a parallelogram
To find the diameter of a circle
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the primary use of the Law of Cosines?
To solve oblique triangles where a side and the two adjacent angles are known
To calculate the height of geometric shapes
To determine the radius of circumscribed circles
To find the centroid of a triangle
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which theorem is a special case of the Law of Cosines?
Euler's Theorem
Pythagorean Theorem
Stewart's Theorem
Theorem of Pappus
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
Find the length of side W?
sin 68 = 70/w
(be sure to lable your answer) (Round to the nearest whole number)
(a)
Tags
CCSS.HSG.SRT.C.8
6.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
a = 39, b = 19, m∠C = 76°.
Find c°
(round to hundredths)
(a)
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for side x. Round to the nearest tenth.
5.5
4.1
6.3
7.2
Tags
CCSS.HSG.SRT.C.8
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