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AP EAMCET · Maths · Properties of Triangles

In ABC,A=75°,B=45° then the value of b+c2=

  1. A a
  2. B 3a
  3. C 2a
  4. D 4a
Verified Solution

Answer & Solution

Correct Answer

(C) 2a

Step-by-step Solution

Detailed explanation

Given in ∆ABC, A=75°,B=45° ⇒C=180°-75°-45°=60° (Using Angle Sum property of triangle) Also, sin75°=3+122, sin45°=12 and sin60°=32 Now, using Sine rule, asinA=bsinB=csinC ⇒a3+122=b12=c32 ⇒22a3+1=2b=2c3…