A-triangle-with-perimeter-7-has-integer-side-lengths-What-is-the-maximum-possible-area-of-such-a-triangle-

Question Number 19330 by Tinkutara last updated on 09/Aug/17

A triangle with perimeter 7 has integer

side lengths . What is the maximum

possible area of such a triangle ?

Answered by mrW1 last updated on 09/Aug/17

3 / 3 / 1 \Rightarrow A = \sqrt{3.5 \times 0.5 \times 0.5 \times 2.5} = 1.479

3 / 2 / 2 \Rightarrow A = \sqrt{3.5 \times 0.5 \times 1.5 \times 1.5} = 1.984 = \max

Commented by Tinkutara last updated on 10/Aug/17

How to take the sides if perimeter was

a large number ?