Home
Class 9
MATHS
In DeltaABC, D, E and F are the midpoint...

In `DeltaABC, D, E and F` are the midpoints of sides AB, BC and CA respectively. Show that `DeltaABC` is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT BANGLISH|Exercise THINK, DISCUSS AND WRITE|2 Videos

  • QUADRILATERALS

    NCERT BANGLISH|Exercise TRY THIS|2 Videos

  • PROOFS IN MATHEMATICS

    NCERT BANGLISH|Exercise EXERCISE - 15.4|15 Videos

  • REAL NUMBERS

    NCERT BANGLISH|Exercise EXERCISE - 1.4|37 Videos

Similar Questions

Explore conceptually related problems

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

If D,E and F are the middle points of the sides BC,CA and AB of the DeltaABC , then AD+BE+CF is

In a parallelogram ABCD, E and F are the midpoints of the sides AB and DC respectively. Show that the line segments AF and EC trisect the diagonal BD.

D, E and F are the mid-points of AB, BC and CA of the equilateral DeltaABC. Prove that DeltaDEF is also an equilateral triangle.

D, E and F are the mid-points of the sides AB, AC and BC of the DeltaABC. Prove that DE and AF bisects each other.

ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD and DA respectively. Prove that EFGH is a parallelogram.

If E, F and G are the mid-points of the sides AB, BC and CA of the DeltaABC respectively, then prove that the centres of gravity of DeltaABC and DeltaEFG are the same point.

D is the mid-point of BC of DeltaABC . E and O are the mid-points of BD and AE respectively. Then the area of the triangle BOE is-

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.

D, E and F are the mid-points of the sides of BC, CA and AB of the DeltaABC . If DeltaABC=16Sq.cm., then the area of the trapezium FBCE is-