Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202125 Aug 2021Evening ShiftMathematicsProperties of TrianglesActual

In a A B C , if b=2, c=3 and B= 6 , then a satisfies the equation

Options

  1. Aa^2+3 3 a +5=0
  2. Ba^2+3 3 a -5=0
  3. Ca^2-3 3 a +5=0
  4. D3 a^2+3 a+5=0

Correct answer

C. a^2-3 3 a +5=0

Step-by-step solution

Given, b = 2 and c = 3 B= 6 By using cosine theorem in A B C , aligned & B= a^2+c^2-b^2 2 a c & 6 = a^2+3^2-2^2 2 a 3 3 2 = a^2+5 6 a & a^2-3 3 a+5=0 aligned

Practice Properties of Triangles on Quantrex Academy →

More from Properties of Triangles

In A B C , if A, B, C are in arithmetic progression then a ^2- ac + c ^2 ( ~A - C 2 )= 2025If in A B C, B=45^ , a=2( 3 +1) and area of A B C is 6+2 3 sq.units, then the side b = 2025In triangle A B C , if C=120^ , c= 19 and b=3 , then a= 2025In a A B C, 2 A+C=300^ . If the circumradius of the A B C is eight times its inradius then C 2 = 2025In A B C , if a=5, b=4 and (A-B)= 31 32 , then c= 2025In a triangle ABC, if A =30^ and b ( 3 +1)^2+2( 2 -1) = c ( 3 +1)^2-2( 2 -1) , then B= 2025In ABC if the line joining the circumcentre and the incentre is parallel to BC, then B + C = 2025In a triangle ABC, if r ₁: r ₂=3: 4 and r ₂: r ₃=2: 3 , then a : b : c = 2025 Full Properties of Triangles list All AP EAMCET PYQs