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Important Properties of Triangles

21. In an equ...

Question

21. In an equilateral triangle ABC, D is a point on side BC such that BD=1 by 3 BC prove that 9AD square =7AB square

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A B C, D

B C

B D

\frac{1}{3}

B C

9 A D^{2} = 7 A B^{2}

B D = \frac{1}{3}

B D = \frac{1}{3} B C

9 A D^{2} = 7 A B^{2}

A B C

B C

D

B D = \frac{1}{3} B C

9 A D^{2} = 7 A B^{2}

A B C

D

B C

B D : D C = 2 : 1

9 A D^{2} = 7 A B^{2}

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