In any triangle ABC B is 120° a is 1 and c is 5 then other angles and sides are?
Answers
Answered by
16
Answer:
a+c=180
1+5=180
6=180
=30 degree
a+c=180
a+b=180-6
=174
Step-by-step explanation:
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Answered by
1
Given : in a triangle ABC, B=120°,a=1, c = 5
To find : other angles and sides
Solution:
triangle ABC
a = 1 , b =?, c = 5
∠B = 120° , ∠A = ∠C = ?
b² = a² + c² - 2acCosB
=> b² = 1² + 5² - 2(1)(5)Cos120°
=> b² = 1+ 25 - 10(-0.5)
=> b² = 26 + 5
=> b² = 31
=> b = √31
a/SinA = b/SinB = c/SinC
=> 1/SinA = √31/Sin(120°) = 5/SinC
=> SinA = 0.1555 => A = 8.95°
=> C = 180° - 120° - 8.95° = 51.05°
b = √31
A = 8.95° , C = 51.05°
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