Maximum area of triangle

Level pending

What is the maximum area of a triangle with sides 14 and 15?


The answer is 105.

Sameer L. by Sameer L. , 23, USA

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2 solutions

Nishant Sharma
Feb 9, 2014

0.5 b h= 105

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Asher Joy
Feb 9, 2014

The maximum area comes with a right triangle. To optimize this, let the legs be 14 and 15, and so therefore the area is 14*15/2 = 105.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you explain why the first statement is true?

Calvin Lin Staff - 7 years, 4 months ago

Hi Asher! Here's a hint: Consider A = 1 2 a b sin ⁡ C A=\dfrac12 ab\sin C

Sameer L. - 7 years, 4 months ago

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