Math, asked by Shakti8187, 2 months ago

Tow side of tringle 12cm and 14cm the perimeter 36 cm what is the third aide of the triangle

Answers

Answered by Steph3030
364

{\huge{\underline{\underline{\rm{Question:-}}}}}

Tow side of tringle 12cm and 14cm the perimeter 36 cm what is the third side of the triangle

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{\huge{\rm{\underbrace{Answer\checkmark}}}}

⇏ We are given that Two sides of a triangle is 12cm and 14 cm.

⇏Let the third side be x

⇏Perimeter of triangle = Sum of all sides

⇏Since we are given that The perimeter of a triangle is 36cm.

⇏So,

36=12+14+x

36-26=x

10=x

★ Hence the length of the third side is 10 cm

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Answered by Sen0rita
73

\bold{Given}\begin{cases}\sf \: Two \: sides \: of \: a \: triangle \: are \: \bold{12cm} \: and \:  \bold{14cm}. \\  \\ \sf \:  Perimeter \: of \: the \: triangle \: is \: \bold{36cm}. \end{cases}

We've to find the third side of the triangle.

______________________

As we know that :

\underline{\boxed{\sf\purple{\bigstar \: perimeter \: of \: a \: rectangle \:  = sum \: of \: all \: sides}}}

Here

  • First side of the triangle (a) = 12cm
  • Second side of the triangle (b) = 14cm
  • Perimeter of the triangle (P) = 36cm

Put the values -

\tt:\implies \: p \:  = a + b + c \\  \\  \\ \tt:\implies \: 36 = 12 + 14 + c \\  \\  \\ \tt:\implies \: 36 = 26 + c \\  \\  \\ \tt:\implies \: c = 36 - 26 \\  \\  \\ \tt:\implies \: c = \underline{\boxed{\sf\purple{10cm}}}\bigstar \\  \\  \\  \\ \sf\therefore{\underline{Hence, \: the \: third \: side \: of \: the \: triangle \: \bold{10cm}.}}

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