In an equilateral triangle ABC the side BC is trisected at D prove that 7BC2 = 9AD2
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Step-by-step explanation:
Let side =a
Draw AE⊥BC So, as triangle ABC is equilateral.
BE=2a and as BD=3a
DE=BE−BD=6a
In △ADE by Pythagoras theorem
AD2=AE2+DE2
=(23a)2+36a2=97a2=97AB2
⇒9AD2=7AB2
Hence provef
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