Home
Class 9
MATHS
XY is a line parallel to side BC of a tr...

XY is a line parallel to side BC of a triangle ABC. If BE||AC and CF ||AB meet XY at E and F respectively , show that ar(ABE)=ar(ACF)

Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    KUMAR PRAKASHAN|Exercise Exercise 9.4|5 Videos
  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    KUMAR PRAKASHAN|Exercise Sum to Enrich Remember|4 Videos
  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    KUMAR PRAKASHAN|Exercise Multiple Choice Questions (MCQs)|17 Videos
  • BOARD'S SAMPLE QUESTION PAPERS (QUESTION PAPER 1 : FOR THE FIRST TEST)

    KUMAR PRAKASHAN|Exercise Section D (Solve the following) |4 Videos

Similar Questions

Explore conceptually related problems

In the figure, XY is a line parallel to BC is drawn through A. If BE || CA and CF || BA are drawn to meet XY at E and F respectively. Show that ar(DeltaABE) = ar (DeltaACF).

If a line intersects sides AB and AC of a triangleABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC) (see the given figure).

The median AD of the triangle ABC is bisected at E and BE meets AC at F. Find AF:FC.

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

In the adjacent figure ABCD is a parallelogram and E is the midpoint of the side BC. If DE and AB are produced to meet at F, show that AF = 2AB .

If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC respectively, then DE is equal to

D is a point on side BC of triangle ABC such that AD = AC (see the given figure). Show that AB gt AD.

In the given figure, sides AB and AC of triangle ABC are extended to points P and Q respectively. Also, angle PBC lt angle QCB . Show that AC gt AB

DeltaABC" and "DeltaDEF are two equilateral triangles of sides 4 cm and 2 cm respectively. Find the ratio of ar(ABC) and ar(DEF).

In the given figure, E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If AD bot BC" and "EF bot AC , prove that DeltaABD ~ DeltaECF