Question

find the area of a triangle with given sides 10,8,6cm with using heron formula


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Answer 1

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Triangle

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A=hbb

2

b Base

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Answer 2

✯✯ QUESTION ✯✯

Find the area of a triangle with given sides 10,8,6cm with using heron formula ..

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✰✰ ANSWER ✰✰

➮Sides of Triangle : -

• a = 10cm
• b = 8cm
• c = 6cm

➥Now ,

$\implies\tt{S=\dfrac{a+b+c}{2}}$

$\implies\tt{s=\dfrac{10+8+6}{2}}$

$\implies\tt{s=\cancel\dfrac{24}{2}}$

$\implies\tt{s=12cm}$

➮Now , we will find the area of Triangle...

$\implies\tt{Area=\sqrt{s(s-a)(s-b)(s-c)}}$

$\implies\tt{\sqrt{12(12-10)(12-8)(12-6)}}$

$\implies\tt{\sqrt{12\times{2}\times{4}\times{6}}}$

$\implies\tt{\sqrt{3\times{2}\times{2}\times{2}\times{2}\times{2}\times{3}\times{2}}}$

$\implies\tt{2\times{2}\times{3}\times{2}}$

$\implies\tt{\large{\boxed{\bold{\bold{\pink{\sf{24{cm}^{2}}}}}}}}$