In Delta ABC, C is a point on BD such th...

In `Delta ABC`, C is a point on BD such that BC:CD=1:2 and △ABC is an equilateral triangle Prove that `AD^(2) = 7AC^(2)`

Verified by Experts

The correct Answer is:

`AD^(2)=7AC^(2)`. Hence proved.

TRIANGLES
ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.1)|7 Videos
TRIANGLES
ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 2.2)|9 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

ABC is an isosceles triangle right angled at C . Prove that AB^(2)=2AC^(2) .

In an equilateral triangle ABC, AD _|_ BC . Prove that : AB^(2) + CD^(2) = 5/4 AC^(2)

In an equilateral triangle ABC, D is a point on side BC such that BD = (1)/(3) BC. Prove that 9 AD^(2) = 7 AB^(2) .

In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3 BC . Prove that 9 AD^(2) = 7 AB^(2) .

In an equilateral triangle ABC , D is a point on side BC such that BD = 1/3 BC . Prove that 9 AD^(2)=7AB^(2) .

In Delta ABC , AD is the perpendicular bisector of BC. Show that Delta ABC is an isoscelss tringle in which AB = AC.

In an equilateral triangle ABC, D is a point of BC such that 4BD = BC. Prove that 16AD^(2)=13BC^(2) .

In Delta ABC , /_ B = /_C , D and E are the points on AB and AC such that BD = CE , prove that DE || BC .

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure) Show that AD = AE