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#1 2012-09-29 20:50:06

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 14,296
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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 2012-09-29 21:41:19

bob bundy
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Registered: 2010-06-20
Posts: 6,114

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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You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#3 2012-09-29 22:43:26

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 14,296
Website

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'
'Humanity is still kept intact. It remains within.' -Alokananda

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