In △ABC, m∠A=15°, a=9, and b=12. Find c to the nearest tenth.
2 answers:
Answer:
20.0 unit ( approx )
Step-by-step explanation:
Here,
ABC is a triangle in which,
m∠A=15°, a=9, and b=12,
By the law of sine,



By substituting the values,


Now, by the property of triangle,
m∠A + m∠B+ m∠C = 180°
⇒ m∠C = 180° - 15° - 20.19° = 144.81°,
By the equation (1),

Answer:
=20.0
Step-by-step explanation:
We can first find the angle B using the sine rule as follows:
a/Sin A=b/Sin B
9/Sin 15=12/ Sin B
Sin B= (12 Sin 15)/9
=0.345
B=Sin⁻¹ 0.345
=20.18°
We then find C by using the summation of the interior angles of a triangle.
C=180-(20.18+15)
=144.82
Finding the length of c:
a/Sin A= c/ Sin C
9/Sin 15=c/Sin 144.82
c=(9 Sin 144.82)Sin 15
=20.0
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