Question

Can someone help me make an example and complete it of Heron's formula for finding the area of a triangle?

Answer 1

@Hero

Answer 2

pick three numbers
make them small and easy to work with

Answer 3

i can pick if you like... i would pick \(3,4,5\)

Answer 4

Sounds good to me!

Answer 5

kind of cheating, because this is a a right triangle, so the answer should be \(\frac{1}{2}\times 3\times 4=6\) but we can do it anyway

Answer 6

first you need
\[s=\frac{a+b+c}{2}=\frac{3+4+5}{2}=6\]

Answer 7

then you compute
\[\sqrt{s(s-a)(s-b)(s-3)}\]
\[=\sqrt{6(6-3)(6-4)(6-5)}\]
\[=\sqrt{6\times 3\times 2\times 1}\]
\[=\sqrt{36}\]
\[=6\] as predicted

Answer 8

Okay..

Answer 9

Thank you so much for your help.