Question
Download Solution PDFThe sides of a triangle are m, n and
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Cosine Rule of Triangle:
The square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
Consider, a, b, and c are lengths of the side of a triangle ABC as shown, then;
Calculation:
Let m = n = 1 unit
Then,
Using cosine rule;
⇒ cos θ = -1/2
∴ θ = 120°
Now, the sum of the acute angles of the triangle = 180° - 120° = 60°
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