AP EAMCET · Maths · Application of Derivatives
Two sides of a triangle are given. If the area of the triangle is maximum, then the angle between the given sides is
- A \(45^{\circ}\)
- B \(30^{\circ}\)
- C \(60^{\circ}\)
- D \(90^{\circ}\)
Answer & Solution
Correct Answer
(D) \(90^{\circ}\)
Step-by-step Solution
Detailed explanation
Let \(A B C\) be a triangle and sides \(a, b\) and \(c\) are \(B C, A C\) and \(A B\), respectively. Area of \(\triangle A B C=\frac{1}{2} a b \sin C\) Now, fixed value of \(a\) and \(b\) area of triangle is maximum when \(\sin C=1\)…
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