Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202311 May 2023Evening ShiftMathematicsProperties of TrianglesActual

In triangle A B C with usual notations b= 3 , c =1, ~m A =30^ , then the largest angle of the triangle is

Options

  1. A135^
  2. B90^
  3. C60^
  4. D120^

Correct answer

D. 120^

Step-by-step solution

By cosine rule, we get aligned a ^2 & =b^2+c^2-2 b c A & =( 3 )^2+(1)^2-2( 3 )(1) (30^ ) & =3+1-2 3 ( 3 2 ) & =4-3 & =1 aligned a=1 Largest angle is angle B array ll & B = c ^2+ a ^2- b ^2 2 ca = 1+1-3 2 1 1 = -1 2 & B =120^ array

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 MHT CET PYQs