Home
Class 10
MATHS
D,Eand F are respectively the mid - poin...

D,Eand F are respectively the mid - points of sides AB, BC and CA of `DeltaABC` . Find the ratio of the areas of `DeltaDEF and DeltaABC.`

Text Solution

Verified by Experts

The correct Answer is:
`1:4`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.5)|17 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -MULTIPLE-CHOICE QUESTIONS|11 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.3)|16 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|11 Videos

Similar Questions

Explore conceptually related problems

D, E and F are respectively the mid-points of sides AB, BC and CA of Delta ABC . Find the ratio of the areas of Delta DEF and Delta ABC .

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

If D, E and F are respectively, the mid-points of AB, AC and BC in DeltaABC , then BE + AF is equal to

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

D, E and F are respectively the mid-points of the sides AB, BC and CA of a ΔABC. Prove that by joining these mid-points D, E and F, the ΔABC is divided into four congruent triangles

Prove that the area of the euilateral traingle described on the side of a square is half the area of the equilatiral triangle described on it's square . OR In Delta ABC D,E, F are the midpoints of te sides BC, AC and AB respectively. Find the rations of the areas of Delta DEF Delta ABC

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

D,E and F are respectively the mid-points of the sides BC, CA and AB of triangle ABC show that (i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4 ar (ABC) (iii) ar (BDEF) = 1/2 ar (ABC)

If D, E, F are respectivley the mid points of AB, AC and BC respectively in a triangle ABC, then vec BE + vec AF =

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF