Home
Class 10
MATHS
Solve the following sub question : In ...

Solve the following sub question :
In an equilateral triangle ABC, the side BC is trisected at D. prove that `9 AD^(2) = 7 AB^(2)`

Answer

Step by step text solution for Solve the following sub question : In an equilateral triangle ABC, the side BC is trisected at D. prove that 9 AD^(2) = 7 AB^(2) by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PYTHAGORAS THEOREM

    CHETAN PUBLICATION|Exercise ASSIGNMENT -4|1 Videos
  • MODEL ACTIVITY SHEET

    CHETAN PUBLICATION|Exercise QUESTION|29 Videos
  • QUADRATIC EQUATIONS

    CHETAN PUBLICATION|Exercise ASSIGNMENT|12 Videos

Similar Questions

Explore conceptually related problems

In an equilateral DeltaABC, the side BC is trisected at D. Prove that 9AD^(2)=7AB^(2). (Hint : AEbotBC )

Solve the following sub questions : State and prove 'Pythagoras theorem'

Delta DEF is an "equilateral triangle"."Seg" DP bot side EF. E- P - F. "Prove that" : DP^(2) = 3EF^(2)

Solve the following sub question in Delta ABD, angle BAD = 90^(@) seg AC bot hypo BD, B - C- D show that (i) AB^(2) = BC : BD (ii) AD^(2) = BD : CD

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

Delta PQR is an "equilateral triangle", "seg" PM bot side QR, Q -M- R "Prove that" : PQ^(2) = 4QM^(2)

BL and CM are medians of a triangle ABC right angled at A. Prove that 4(BL^(2)+ CM^(2))=5BC^(2)

In Delta ABC, "seg" AD bot "seg" BC, DB = 3CD . Prove that: 2 AB^(2) = 2AC^(2) + BC^(2)

Solve the following sub questions: In Delat ACB , angle ACB = 90^(@) "seg" CD bot side AB, A - D - B "seg" DE bot side CB. "Show that" CD^(2) xx AC =AD xx AB xx DE

In triangle ABC, if a = 2 and bc = 9, then prove that R = 9//2Delta