The length of the side BC is 6√3 inches
Step-by-step explanation:
Let us revise the sine rule
In Δ XYZ
- The side XY is opposite to angle Z
- The side YZ is opposite to angle X
- The side XZ is opposite to angle Y
- The sine rule is
In Δ ABC
∵ m∠A = 60°
∵ m∠C = 30°
∵ AB = 6 inches
- By using the sine rule
∵ AB is opposite to ∠C
∵ BC is opposite to ∠A
∵
∴
- By using cross multiplication
∴ BC × sin(30) = 6 × sin(60)
∵ sin(30) = and sin(60) =
∴ BC = 6(
)
∴ BC =
- Multiply both sides by 2
∴ BC = 6√3
The length of the side BC is 6√3 inches
Learn more:
You can learn more about the triangles in brainly.com/question/1238144
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