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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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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,273

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.

Bob

Children are not defined by school ...........The Fonz

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

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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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