Question

please give the simple proof for the heron's formula at the earliest

Answer 1

here's your proof for herons formula

Answer 2

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

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

SIMPLE PROOF FOR HERON'S FORMULA

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

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

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

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

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

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

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