in right angle triangle BAC angle BAC is equals to 90° segment ADB and CF are medians prove that to 80 square + b square + c square is equals to 3 BC square
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Explanation:
In Δ ABC, draw medians AD, BE, CF. Join DF.
Pint D & F are midpoints of AB & BC respectively.
DF ║ AC.
∴ DF = 1/2 AC
Now, taking LHS
2 [ AD² + BE² + CF²]
= 2 [ ( AF² + FD²) + ( BA² + AE²) + ( CA² + AF²) ] -- Δ ADF, Δ AFC, Δ ABE are right angle triangles.
= 2 [ ( AB²/4 + AC²/4) + AB² + AC² + ( AC²/4 + AB²/4)]
= 2 [ (BC²/2) + BC²]
= 3 BC²
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1
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Explanation:
Can solve this sum by using apollonius thoerem
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