Math, asked by mohitarora180106, 1 month ago

if sides of triangle are 5cm,5cm and 1cm find area of triangle​

Answers

Answered by thanuj25
4

hope this helps in solving your problem...

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Answered by ItzWhiteStorm
34

\bigstar Question:

\longmapsto If sides of triangle are 5 cm,5 cm and 1 cm. find area of triangle.

\bigstar To Find:

Area of triangle = ?

\bigstar Given:

\implies Sides = 5cm, 5cm, 1cm

\bigstar Solution:

Heron's Formula : \large\tt{s= \frac{a+b+c}{2}}

Let us consider that,

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: : \implies\rm\red{\: a = 5cm, \: b = 5cm, \: c = 1 cm}

::\implies\tt{s = \frac{5+5+1}{2}}

::\implies\tt{s = \cancel\frac{11}{2}}

::\implies\tt{s = 5.5 cm}

Area of triangle = \large\tt \sqrt{s(s - a)(s - b)(s - c)}

Now Let us consider that,

 \:  \:  \:  \:  \:  \:  \:  \:  : \implies \rm \pink{s = 5.5cm , a = 5cm, b = 5cm, c = 1cm}

\:  \:  \:  \:  \:  \:  \:  \:  :  \implies \tt{ s = \sqrt{5.5(5.5 - 5)(5.5 - 5)(5.5 - 1)} }

 \:  \:  \:  \:  \:  \:  \:  \:  :  \implies \tt{s =  \sqrt{5.5×0.5×0.5×4.5}}

 \:  \:  \:  \:  \:  \:  \:  \:  :  \implies \tt{s = 6.1875}

Thus,The area of triangle = 6.1875 cm^2.

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