# Thread: A question on Heron's Formula...easy..but confusing..

1. ## A question on Heron's Formula...easy..but confusing..

umm....can you guys please help me with this question??? i mean the formula is really easy..but i get confused in the middle...

Q. Find the area of a triangle whose sides are x, y and z, using Heron's Formula.

my doubt - here, s= x + y + z
2
so while substituting... the values are getting confusing..

2. Hey

This formula is for the semiperimeter. To calcul the area, the Heron's formula is $\displaystyle A=\frac{\sqrt{(x^2+y^2+z^2)^2-2(x^4+y^4+z^4)}}{4}$

wiki definition

3. i know Heron's formula...
it's
$\displaystyle \sqrt {s(s-a)(s-b)(s-c)}$

how come you got that?

and i WAS talking about the semi perimeter...

4. Originally Posted by sudha_14
umm....can you guys please help me with this question??? i mean the formula is really easy..but i get confused in the middle...

Q. Find the area of a triangle whose sides are x, y and z, using Heron's Formula.

my doubt - here, s= x + y + z
2
so while substituting... the values are getting confusing..
You start by substituting for s:

$\displaystyle \sqrt{ \left( \frac{x+y+z}{2}\right) \cdot \left( \frac{x+y+z}{2} - x\right)} \cdot \left( \frac{x+y+z}{2} - y\right) \cdot \left( \frac{x+y+z}{2} - z\right)$.

Now you get common denominators and simplify the fractions in the second, third and fourth bracket. Then simplify.

It would help if you showed where you're stuck.