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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

Agnishom
2013-11-21 00:03:07

anonimnystefy wrote:

The harder question is, can you prove the same thing, but with medians instead of heights? smile

A similar question came in my test and I could not answer

anonimnystefy
2013-11-19 20:01:48

The harder question is, can you prove the same thing, but with medians instead of heights? smile

Agnishom
2013-11-19 15:26:08

Yes, atleast in CBSE

shivusuja
2013-11-19 15:12:55

THANKS roflol
SO SIMPLE WHOLE DAY I WORKED OUT. THIS IS 5 MARKS QUESTION. DO I GET 5 MARKS IF I DO IN THIS WAY?

Agnishom
2013-11-19 00:40:27

Thank You, Bob

bob bundy
2013-11-19 00:02:55

hi shivusuja

I spent ages working around the triangle inequality and got nowhere.  Then I had a fresh idea.

AEC is a right angled triangle with AC as hypotenuse.  So

AE < AC

Similarly, in triangle CFB

CF < BC

And finally, in triangle ABD

BD < AB

Add those up and

AE + CF + BD < AC + BC + AB

smile

Bob

shivusuja
2013-11-18 15:48:17

Please Help Me Out

Sum Of The Altitudes Of Triangle Is Less Than He The Sum Of The Sides Of The Triangle.
(ae+cf+bd < Ab+bc+cd)


Proof
I Have Tried With
Sum Of The Two Sides Is Greater Than The Third Side
Abc As Sides Of The Triangle And Ae. Bd And Cf As The Altitude.
I Got

Ae+ec>ac      Bd+dc>bc   Cf+af>ac
Ae+be>ab      Bd+ad>ab   Cf+fb>bc

Adding All I Got 2ae+2bd+2cf>ab+bc+ca

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