Home
Class 10
MATHS
In an equilateral Triangle ABC,D is a po...

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

Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    VGS PUBLICATION-BRILLIANT|Exercise OPTIONAL EXERCISE|7 Videos
  • SIMILAR TRIANGLES

    VGS PUBLICATION-BRILLIANT|Exercise (PART-A) OBSERVATION MATERIAL TO SOLVE VARIOUS QUESTION GIVEN IN THE PUBLIC EXAMINATION (1 MARK QUESTION)|8 Videos
  • SIMILAR TRIANGLES

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE 8.3|8 Videos
  • SETS

    VGS PUBLICATION-BRILLIANT|Exercise CREATIVE BITS OF CCE MODEL EXAMINATION|116 Videos
  • STATISTICS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|146 Videos

Similar Questions

Explore conceptually related problems

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

In an equilateral triangle ABC, AD bot BC meeting BC in D then AD^2 =…………..

In an equilateral triangle ABC, if AD is the altitude prove that 3AB^2 = 4AD^2 .

D is a midpoint on side BC of /_\ABC such that AD=AC then______ ( )

In a triangle ABC, AD is the median drawn on the side BC is produced to E such that AD = ED prove that ABEC is a parallelogram.

In the given figure, ABC is a Triangle right angled at B.D and E are points on BC trisect it. Prove that 8AE^2=3AC^2+5AD^2 .

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

ABC is a right Triangle right angled at B.Let D and E be any points on AB and BC respectively. Prove that AE^2+CD^2=AC^2+DE^2 .