Question

What is Herons formula used for?

Answer 1

to get the area of a triangle in which only the measures of the sides are given

Answer 2

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

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

HERON'S FORMULA

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

A HERON'S FORMULA IS USED FOR FINDING THE AREA OF A TRIANGLE WHEN THERE ARE THREE SIDES OF TRIANGLE ARE GIVEN

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

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

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

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

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

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