Question

Give the proof for heron's formula

Answer 1

this proof is very simple to understand

Answer 2

━━━━━━━━━━━━━━━━━━━━━━━━━

$\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid }$

━━━━━━━━━━━━━━━━━━━━━━━━━

$\Large\fbox{\color{purple}{QUESTION}}$

GIVE THE PROOF FOR HERON'S FORMULA

━━━━━━━━━━━━━━━━━━━━━━━━━

$\Large\fbox{\color{purple}{ SOLUTION }}$

$\Large\mathcal\orange{HERON'S \: FORMULA }$

$\mathfrak\pink{\implies let \: semi \: perimeter \: = x</p><p>}$

$\mathfrak\pink{\implies x = \frac{a \: + \: b + c \: }{2}}$

$\mathfrak\red{area \: of \: triangle \: by \: herons \: formula}$

$\mathfrak\red{\implies\sqrt{x(x - a)(x - b)(x - c) \: } }$

━━━━━━━━━━━━━━━━━━━━━━━━━