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

If the angles of a triangle are in the ratio 4: 1: 1 , then the ratio of the longest side to its perimeter is

Options

  1. A3 :(2+ 3 )
  2. B2:(1+ 3 )
  3. C1:(2+ 3 )
  4. D2: 3

Correct answer

A. 3 :(2+ 3 )

Step-by-step solution

Let the angles of the triangle be 4 x, x and x . aligned & 4 x+x+x=180^ 6 x=180^ x=30^ & 120^ a = 30^ b = 30^ c & a :( a + b + c ) & = ( 120^ ): ( 120^ + 30^ + 30^ ) & = 3 2 : 3 +2 2 = 3 :( 3 +2) 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 MHT CET PYQs