Quizalize logo
placeholder image to represent content

Law of Sines and Cosines

Quiz by Sharronda Smith

High School
Precalculus (Archived)
Texas Essential Knowledge and Skills (TEKS)

Feel free to use or edit a copy

includes Teacher and Student dashboards

Measure skills
from any curriculum

Tag the questions with any skills you have. Your dashboard will track each student's mastery of each skill.

With a free account, teachers can
  • edit the questions
  • save a copy for later
  • start a class game
  • automatically assign follow-up activities based on students’ scores
  • assign as homework
  • share a link with colleagues
  • print as a bubble sheet

Our brand new solo games combine with your quiz, on the same screen

Correct quiz answers unlock more play!

New Quizalize solo game modes
10 questions
Show answers
  • Q1
    In triangle ABC, if angle A measures 30 degrees, angle B measures 60 degrees, and side a (opposite angle A) is 10 units long, what is the length of side b (opposite angle B) using the Law of Sines?
    10
    15
    5
    10√3
    30s
  • Q2
    In triangle XYZ, if side x = 8, side y = 15, and angle X = 45 degrees, what is the length of side z using the Law of Cosines?
    12
    14
    10
    17
    30s
  • Q3
    In triangle DEF, if angle D measures 50 degrees, side d is 20 units, and side e is 25 units, how can you find the length of side f using the Law of Cosines?
    f = d - e
    f = d + e
    f = √(d² + e² - 2de * cos(D))
    f = de / sin(D)
    30s
  • Q4
    In triangle JKL, if angle J is 30 degrees, angle K is 70 degrees, and side j (opposite angle J) is 14 units, what is the length of side k (opposite angle K) using the Law of Sines?
    16.28
    18
    12
    10
    30s
  • Q5
    In triangle MNO, if side m = 7, side n = 24, and angle M = 60 degrees, what is the length of side o using the Law of Cosines?
    √(7² + 24² - 2 * 7 * 24 * cos(60 degrees))
    31
    25
    20
    30s
  • Q6
    In triangle PQR, if angle P is 45 degrees, angle Q is 85 degrees, and side p (opposite angle P) is 10 units, what is the length of side q (opposite angle Q) using the Law of Sines?
    10
    8.66
    12.54
    14
    30s
  • Q7
    In triangle ABC, if side a = 5, side b = 12, and angle A = 60 degrees, what is the length of side c using the Law of Cosines?
    9
    15
    7
    10.39
    30s
  • Q8
    In triangle XYZ, if angle X measures 30 degrees, angle Y measures 45 degrees, and side x (opposite angle X) is 25 units long, what is the length of side y (opposite angle Y) using the Law of Sines?
    26
    30
    20
    31.25
    30s
  • Q9
    In triangle DEF, if side d = 10 units, side e = 14 units, and angle D = 120 degrees, what is the length of side f using the Law of Cosines?
    15
    12
    17.32
    19
    30s
  • Q10
    In triangle GHI, if angle G is 50 degrees, angle H is 30 degrees, and side g (opposite angle G) is 20 units long, what is the length of side h (opposite angle H) using the Law of Sines?
    10
    12.25
    15
    18
    30s

Teachers give this quiz to your class