Respuesta :
The length of r is 2.4 inches.
What is the law of sines ?
The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.
Given, In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°
We know that, The sum of all angles of a triangle is 180°.
So, ∠Q + ∠R + ∠S = 180°
∠R = 180° - 129° - 30°
= 21°
Now, We also know that the law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal.
So, q/Sin Q = r/Sin R = s/Sin S
Or, we can say
r/Sin R = s/Sin S
r/Sin 21° = s/Sin129°
r/Sin 21° = 5.2 / Sin 129°
r = 5.2 × Sin 21°/Sin 129°
= 5.2 × 0.46
= 2.4 inches.
Learn more about Law of Sines from the given link:
https://brainly.com/question/27174058
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