Question
Download Solution PDFIn a triangle ABC, ∠A = 60°, AB = 6 cm, and AC = 4 cm. Find BC.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In triangle ABC,
∠A = 60º
AB = 6 cm
AC = 4 cm
Formula Used:
Using the Cosine Rule:
BC2 = AB2 + AC2 - 2 × AB × AC × cos(∠A)
Calculation:
Substitute the values:
AB = 6, AC = 4, cos(60º) = 1/2
⇒ BC2 = 62 + 42 - 2 × 6 × 4 × (1/2)
⇒ BC2 = 36 + 16 - 24
⇒ BC2 = 28
⇒ BC = √28
⇒ BC = √(4 × 7)
⇒ BC = 2√7
⇒ BC = (2/√7) cm
The correct length of BC is (2/√7) cm.
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