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#1 2012-09-30 18:50:06

Agnishom
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Right angled Triangle

Let their be a triangle ABC with sides a opposite to A, b opposite to B and c opposite to C. It is right angled at C. If p is the perpendicular from C to AB.
Then Is the following true? If yes, how?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
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#2 2012-09-30 19:41:19

bob bundy
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Re: Right angled Triangle

hi Agnishom

Yes it is.

outline of proof follows.

Let AD = x and DB = y as shown in diagram.  => x + y = c





Use Pythagoras together with ab = pc in eqn 1

The rest I leave to you.  smile

Bob


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#3 2012-09-30 20:43:26

Agnishom
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Re: Right angled Triangle

Putting ab = pc in eqn1:



It was indeed a great one


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Who are you to judge everything?' -Alokananda

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