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

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 22,019
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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: 7,198

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 2012-09-29 22:43:26

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 22,019
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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'
'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

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