geometry

posted by .

i am lost on this one

TAKE Three points K,L,M on sides BC,CA,AB of the triangle ABC. Prove that
at least one of the triangles AML,BKM,CLK has area less than or equal to 1/4 area of triangle ABC

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    Given: X, Y, and Z are the midpoints of the sides of triangle ABC. Find rhe ratio of the area of triangle XYZ to the area of triangle ABC
  2. math

    Let P and Q be the points on the sides AB and BC of a triangle ABC respectively such that BP = 3PA and QC = 2BQ. Let K be the midpoint of the segment PQ. Prove that the area of the triangle AKC is equal to 11S/24, where S is the area …
  3. geometry

    The medial triangle of a triangle ABC is the triangle whose vertices are located at the midpoints of the sides AB, AC, and BC of triangle ABC. From an arbitrary point O that is not a vertex of triangle ABC, you may take it as a given …
  4. Math

    In triangle ABC, D bisects side BC, G bisects side AB, and the points E and F trisect side AC. What is the area of the shaded polygon, if the area of ABC is 108?
  5. Math

    In triangle ABC, D bisects side BC, G bisects side AB, and the points E and F trisect side AC. What is the area of the shaded polygon, if the area of ABC is 108?
  6. Math please help urgent

    In triangle ABC, D bisects side BC, G bisects side AB, and the points E and F trisect side AC. What is the area of the shaded polygon, if the area of ABC is 108?
  7. Geometry

    Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) …
  8. sanket study centre

    In triangle ABC p,q,r such that they lie interior of triang ABC and AP=AR and all the three sides of triangle PQR are scalan if area of triangle PQR is 100 then find area of triangle ABC
  9. maths

    AD is the median of triangle ABC and G divides AD in the ratio 2:1 .Prove that area (triangle AGB )= area (triangle BGC )=area (triangle AGC )=1÷3area (triangle ABC )
  10. maths

    In a triangle ABC,D and E are the mid points of BC and AD respectively.prove that the area of triangle ABC is four times to the area of triangle ABE

More Similar Questions