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Without using Pythagoras theore, show th...

Without using Pythagoras theore, show that
`A(4,3),B(6,4)and C(5,6)` are the vertices of right angled triangle.

Text Solution

Verified by Experts

In `DeltaABC,`
`m_(1)=` Slope of `AB=(4-3)/(6-4)=1/2`
`m_(2)=` Slope of `BC=(6-4)/(5-6)=-2`
Clearly,`m_(1)m_(2)=-1`
This emplies `AB botBC i.e angle ABC=90^(@)`
Hence poved.
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