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AP EAMCET · Maths · Properties of Triangles

In a triangle ABC,ab=2+3 and C=60°. Then the measure of A is

  1. A 95°
  2. B 65°
  3. C 105°
  4. D 115°
Verified Solution

Answer & Solution

Correct Answer

(C) 105°

Step-by-step Solution

Detailed explanation

Given: ab=2+3 ∠C=60° Also, A+B+C=180° ⇒A+B=120°     ...1 By sine formula sinAa=sinBb ⇒sinAsinB=ab ⇒sinAsinB=2+3 Applying Componendo and Dividendo, we get sinA+sinBsinA-sinB=3+33+1…