Heron's Formula

a = 3.46

b = 3.23

c = 3.23

s=

1

2

(a+b+c) = 4.97

Δ=

s(s-a)(s-b)(s-c)

= 4.73

A well-known formula for the area of a triangle ABC in terms of its three sides

a,b,c

is usually attributed to Heron of Alexandria. Define the semiperimeter

s=

1

2

(a+b+c)

. Then the area is

Δ=

s(s-a)(s-b)(s-c)

.

External Links

Heron's Formula (Wolfram MathWorld)

Permanent Citation

S. M. Blinder

"Heron's Formula"
http://demonstrations.wolfram.com/HeronsFormula/
Wolfram Demonstrations Project
Published: May 23, 2018