Question

Find the third side of the triangle if the semi perimeter is 16 cm and two sides are 8 cm and 11 cm ?​

Answer 1

Answer:

Perimeter of triangle is defined as sum of boundaries of the triangle.

semi-perimeter = (8+11+x)/2

or, 32 = 19+x

or, x = 13 cm

Hence, Third side of triangle is 13 cm...

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• 2 sides of the triangle = 8cm and 11 cm
• Semi perimeter = 16cm

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• 3rd side = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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Let the third side be x

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We know that ;

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$\sf{\red{\boxed{\bold{Semi \: perimeter = \dfrac{a + b + c}{2}}}}}$

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$\sf :\implies{\bold{ 16 = \dfrac{8 + 11 + x }{2} }}$

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$\sf :\implies{\bold{ 16\times 2 = 8 + 11+ x }}$⠀

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$\sf :\implies{\bold{ 32 = 8 + 11 + x}}$

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$\sf :\implies{\bold{ 32 = 19 + x }}$

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$\sf :\implies{\bold{ x = 32 - 19 }}$

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$\sf :\implies{\bold{ x = 13 }}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• Third side of the triangle is 13 cm

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$\sf{\orange{\boxed{\bold{More\: Info :- }}}}$

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• $\sf {\bold{ Perimeter\: of \:square = 4 \times side }}$

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• $\sf {\bold{ Perimeter\: of \:rectangle = 2 ( length + breadth ) }}$

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• $\sf {\bold{ Perimeter \:of\: triangle = sum\: of\:all\: sides}}$

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• $\sf {\bold{ Perimeter \: of \: circle = 2\pi r}}$