Answer:
r
Step-by-step explanation:
Since r is not given, the length we can be find using the Law of Sines using is length r.
The Sine formula or the Law of Sines
q/Sine Q = r/Sine R
q=9.5
r is the unknown
9.5/Sine 18° = r/ Sine 135°
With sine law length of the side opposite to the angle in a triangle can be determined i.e. r = 21.738.
∠Q measures 18°, ∠R measures 135°, and q equals 9.5, then which length can be found using the Law of Sines is to determined.
The sine formula provides the ratio of the sides and angles of a triangle. The sine rule can be explained using the expression, a/sinα = b/sinβ = c/sinФ. Here a, b, and c are the measures of the sides of the triangle, and α, β, Ф are the angles of the triangle.
Here,
sine law for given numerical,
[tex]q/sinQ = r/sinR[/tex]
Q = 18°, R = 135° and q =9.5
⇒ 9.5/sin18 = r/sin135
30.24 * sin135 = r
r = 21.738
Thus, with sine law, length of the side opposite to the angle in a triangle can be determined i.e. r = 21.738.
Learn more about sine law here:
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