Calculating Triangle Side Lengths with Law of Cosines
10th Grade
•10 Qs
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Calculating Triangle Side Lengths with Law of Cosines
Quiz
•
English, Mathematics
•
10th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has sides of lengths 8 cm and 6 cm, with an included angle of 60 degrees. Calculate the length of the third side using the law of cosines.
2√13 cm
10 cm
7 cm
5 cm
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a triangle, one side measures 10 m, another side measures 14 m, and the angle between them is 45 degrees. Determine the length of the third side.
c = 8 m
c = 12 m
c = 10 m
c = √(296 - 140√2) ≈ 6.83 m
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder leans against a wall, forming a triangle with the ground. If the ladder is 15 ft long and the angle between the ladder and the ground is 30 degrees, how far is the base of the ladder from the wall?
12.99 ft
14.5 ft
10 ft
9 ft
Tags
CCSS.HSG.SRT.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular park has two sides measuring 12 m and 9 m, with an included angle of 75 degrees. Find the length of the third side of the park.
15.20 m
12.95 m
10.50 m
8.75 m
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a triangle, the lengths of two sides are 7 m and 24 m, and the angle opposite the 7 m side is 60 degrees. Calculate the length of the side opposite the 24 m side.
30.5 m
21.4 m
15.2 m
18.7 m
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A boat sails from point A to point B, then to point C, forming a triangle. If AB = 5 km, AC = 7 km, and angle A = 50 degrees, find the distance BC using the law of cosines.
6.12 km
4.75 km
7.25 km
5.39 km
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has sides of lengths 5 cm, 12 cm, and an angle of 90 degrees between them. Calculate the length of the third side using the law of cosines.
10 cm
15 cm
12 cm
13 cm
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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