The ratio of angle measures of ABC is a: B: y=3:2:13. Find the length of
the shortest side if a - b=3.
Answers
Given : The ratio of angle measures of ABC is A : B : C = 3 : 2 : 13
a - b = 3
To Find : length of the shortest side
Solution:
A : B : C = 3 : 2 : 13
=> a = 3k , b = 2k , c = 13k
3k + 2k + 13k = 180°
=> 18k = 180°
=> k = 10°
=> A = 3k , B = 2k , C = 13k
k = 10
=> A = 30 , B = 20 , C = 130
Shortest sides opposite to B is b
a/SinA = b/SinB
=> a/Sin30° = b/Sin20°
a - b = 3
=> a = b + 3
=> (b + 3)/Sin30° =b/Sin20°
=> 2b + 6 =2.9238b
=>0.9238b = 6
=> b = 6.49488
=> b = 6.495
Shortest side is 6.495
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Answer:
Step-by-step explanation:
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