Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202022 Sep 2020Morning ShiftMathematicsProperties of TrianglesActual

In P Q R , find (q+r) P , if p, q, r denote its sides and s= (p+q+r) 2

Options

  1. As
  2. Bs / 2
  3. C2 ~s
  4. D4 ~s

Correct answer

C. 2 ~s

Step-by-step solution

It is given that in a P Q R, p, q, r denotes its sides, so (q+r) P array lr =q P+r P+r Q+p Q+p R =(q P+p Q)+(r P+p R =r+q+p & +(r Q+q R) =2 s & ( by projection law ) & ( s= p+q+r 2 ) 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 AP EAMCET PYQs