CBSE Class 10 Answered
in triangle BAC ,angle c=90 and q is mid point of bc.prove that AB square =4AQ square-3AC square
Asked by Pranav Limbani | 04 Sep, 2012, 06:59: PM
Expert Answer
Answer : Given : in triangle bac ,angle c=90 and q is mid point of bc.
To prove :ab2 =4aq2 - 3ac2
Now let us take RHS of the proving statement, we get
= 4aq2 - 3ac2
= 4(qc2+ac2)- 3ac2 {using pythagorus theorm in triangle qac}
= 4qc2+ac2
= 4 (bc/2)2 +ac2 { since q is mid point of side bc ,qc= bc/2}
= bc2 + ac2
= ab2 {using pythagorus theorm in triangle bac }
= LHS
hence proved
Answered by | 05 Sep, 2012, 12:11: AM
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