Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202014 Oct 2020Evening ShiftMathematicsProperties of TrianglesActual

In A B C , if A a = B b = c c with usual notations, then the triangle is

Options

  1. Aan isosceles triangle
  2. Ban equilateral triangle
  3. Ca right angled scalene triangle
  4. Da scalene triangle

Correct answer

B. an equilateral triangle

Step-by-step solution

From sine rule a / A=b / B=c / C=2 R Given situation a / A=b / B=c / B=k2 R A=k A A= B= C Hence it is equilateral triangle.

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