Question

Prove: Heron's formula.​

Answer 1

In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria,[1] gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

Answer 2

Answer:

here we have

s=a+b+c/2

2s=a+b+c

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

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

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

p+q = c as indicated

p=a^2+c^2-b^2/2c

h^2=a^2-p^2