# How to find the sides of triangle?

• Aug 29th 2009, 05:57 PM
cola
How to find the sides of triangle?
The area of the triangle is given.
How to find the three sides of that triangle?
• Aug 29th 2009, 06:03 PM
VonNemo19
Quote:

Originally Posted by cola
The area of the triangle is given.
How to find the three sides of that triangle?

Your search is going to take a very long time because you haven't got enough information to proceed.
• Aug 29th 2009, 06:03 PM
mr fantastic
Quote:

Originally Posted by cola
The area of the triangle is given.
How to find the three sides of that triangle?

Insufficient data for a unique answer.
• Aug 29th 2009, 06:46 PM
cola
Suppose we are given the area of a triangle. Let A.
We have to find the tree sides a,b,c.

No need to be the unique answer.

s=(a+b+c)/2
A=s(s-a)(s-b)(s-c)

How to find a,b,c?
• Aug 30th 2009, 07:11 PM
aidan
Quote:

Originally Posted by cola
Suppose we are given the area of a triangle. Let A.
We have to find the tree sides a,b,c.

No need to be the unique answer.

s=(a+b+c)/2
A=s(s-a)(s-b)(s-c)

How to find a,b,c?

Heron's formula:

A = $\sqrt{s(s-a)(s-b)(s-c)}$

for an equilateral triangle
in which a=b=c

c = $\sqrt { \dfrac{4A}{\sqrt 3 } }$