Home
Class 9
MATHS
E is the mid-point of the median AD of t...

E is the mid-point of the median AD of the `DeltaABC.` Extended BE intersects AC at F. Prove that `AF=1/3AC.`

Promotional Banner

Topper's Solved these Questions

  • THEOREMS ON TRANSVERSAL AND MID-POINTS

    CALCUTTA BOOK HOUSE|Exercise Short answer|10 Videos
  • THEOREMS ON CONCURRENCE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE Long-answer type questions|17 Videos
  • TRIANGLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.1 (Long-answer type question :)|14 Videos

Similar Questions

Explore conceptually related problems

E is the mid-point of AD , a median of the Delta ABC . The extended BE intersects AC at F. prove that AF=(1)/(3)AC.

E is the mid-point of the side BC of the parallelogram ABCD. DE and extended AB intersects each other at F. If AB = 4 cm, then AF =

E is the mid-point of the medium AD of the DeltaABC . Prove that DeltaBED=1/4DeltaABC .

If E be the mid-point of the median AD of DeltaABC , then prove that DeltaBED=1/4DeltaABC .

In DeltaABC , P is a point on the median AD . Extended BP and CP intersect AC and AB at Q and R respectively. Prove that RQ||BC .

D and E are the mid-points of AB and AC respectively of the DeltaABC. AP is the median of BC. AP intersects DE at Q. Prove that DQ = QE and AQ = QP.

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

AD and BE are medians of DeltaABC. F' lies on CE and BE"||"DF . Prove that CF=(1/4)AC.

D, E and F are the mid-points of the sides AB, BC and CA of the DeltaABC . Prove that DeltaDEF=1/4DeltaABC .