We have a little more to discuss about triangles. First, there is an alternative formula for finding the
Area of a triangle
when all three sides are known (and the height may not be known). Second comes the most infamous of all mathematical formulas since
antiquity.
antiquity (n.): an-tick-qwuh-tE
ancient times; former ages; times long since past
|
Any idea of what equation that may be? It relates the three sides of a right triangle. If you still don't know, hang tight, we'll get to it shortly.
* * *
Whenever the three sides of a triangle are given the
Area may be found by using an equation known as
Heron's formula.
![Triangle diagram](G1/TriangleHF.png)
If the lengths of the three sides of a triangle are
a, b, & c, then the
Area of the triangle is given by the formula:
A = √s(s - a)(s - b)(s - c) |
where s =12P
(semiperimeter)
|
Clearly this equation may look a bit
daunting.
daunting (adj.): dawn-ting
frightning or intimidating; discouraging through fear; overwhelming
|
However, once you understand what "
s" is (
i.e., the
semiperimeter), then it's really nothing more than a little bit of arithmetic.