Question
Download Solution PDFIn a triangle ABC, a = (1 + √3) cm, b = 2 cm and angle C = 60°, then the other two angles are
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Consider a triangle ABC,
Cosine rule:
Sine rule:
Calculation:
Given: a = (1 + √ 3) cm, b = 2 cm and ∠C = 60°
We know that,
⇒ 2(1 + √3) = 1 + 3 + 2√3 + 4 – c2
⇒ c2 = 6
⇒ c = √6
Using sin rule we get,
⇒ sin B = (2 / √6) × sin 60°
⇒ B = 45°
Now, sum of all angles of triangles = 180°
⇒ A + B + C = 180°
⇒ A = 180° – 45° – 60°
⇒ A = 75°
Hence, other angles are 45° and 75°.
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