AP EAMCET · Maths · Properties of Triangles
Let a triangle be inscribed in a circle of radius units. If the bisectors of the angles and are extended to cut the circle at and respectively, then the value of
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Consider the figure below. The triangle ABC is equilateral. Therefore, A=B=C=60°. Substitute the value in the given expression, AA1cosA2+BB1cosB2+CC1cosC2sinA+sinB+sinC2 =4cos60°2+4cos60°2+4cos60°2sin60°+sin60°+sin60°2 =4×3323322 =16
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