The Laws of Sines and Cosines

Submitted by vladimir.arzt on Fri, 04/12/2024 - 16:22
Project ID: 
7200000037
Accepted: 
SubArea: 
Triangles
Type: 
Match
Layout: 
8x8
Question: 
Some parameters of a general triangle are given (marked as shown in the figure). Match each set of parameters with the value of the sought side/angle, rounded to two decimal places (calculate using a calculator).
Unfolding Image: 
Questions Title: 
Set of Parameters
Answers Title: 
Value of the Sought Side/Angle
Question 1: 
b=5, c=2, β=51∘ γ= ?
Answer 1: 
18.11∘
Question 2: 
b=3, c=7, γ=80∘ β= ?
Answer 2: 
24.96∘
Question 3: 
a=5, b=7, β=40∘ α= ?
Answer 3: 
27.33∘
Question 4: 
α=50∘, a=4, γ=40∘ c= ?
Answer 4: 
3.36
Question 5: 
b=4, α=30∘, β=60∘ a= ?
Answer 5: 
2.31
Question 6: 
a=7, b=5, γ=60∘ c= ?
Answer 6: 
6.24
Question 7: 
b=11, c=7, α=45∘ a= ?
Answer 7: 
7.82
Question 8: 
a=8, c=10, β=30∘ b= ?
Answer 8: 
5.04