Question

Find out the area of a triangle whose sides are 50m., 78m., and 112m.?

Answer 1

so area of triangle would be by herons formulae
s=a + b+c
_____
2
=230/2=115

so root115×115-78×115-50×115-112

calculate this on your calculator and do not forget to under root it

Answer 2

$\bold{YOUR~SOLUTION:==>}$

$\bold{ In~triangle~ABC,}$

$\bold{Side a = 50m}$
$\bold{Side b = 78m}$
$\bold{Side c = 112m}$

$\bold{Semi~perimeter~(s)~of~triangle~ABC}$

$\bold{= (\frac{a+b+c} {2}) }$
$\bold{= (\frac{50+78+112}{2}) m}$
$\bold{=( \frac{240}{2}) m = 120 m}$

$\bold{Area~of~triangle~ABC }$

$\bold{= \sqrt{s(s-a) (s-b) (s-c)} }$
$\bold{= \sqrt{120(120-50)(120-78)(120-112)}m^2}$
$\bold{= \sqrt{ 120 × 70 × 42 × 8}m^2}$
$\bold{= \sqrt{ 2822400}m^2}$
$\bold{= 1680 m^2 }$ans.

$\bold{THANKS}$

$\bold{ Insta~id:-@shivamsinghamrajput}$

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