Solve it out.... ??!!

1.	Solve it out.... ??!!
Answer» $\sf{\bold{\purple{\star{\underline{\underline{Given}}}}}}$ Perimeter = 30cm equal sides = 12CM ⠀⠀⠀⠀ $\sf{\bold{\purple{\star{\underline{\underline{To\: Find }}}}}}$ ⠀⠀⠀⠀ Area = ?? ⠀⠀⠀⠀ $\sf{\bold{\purple{\star{\underline{\underline{Solution}}}}}}$ ⠀⠀⠀⠀ let the UNKNOWN side be x ⠀⠀⠀⠀ $\sf{\star{\boxed{\orange{\frak{ Perimeter = sum \: of \: all \: sides }}}}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ 30 = 12 + 12 + x }}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ 30 = 24 + x }}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ x = 30 - 24}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ x = 6 }}$ ⠀⠀⠀⠀ All the sides of the TRIANGLE are 6CM , 12cm and 12cm ⠀⠀⠀ $\sf{\star{\boxed{\orange{\frak{ Semi\: perimeter = \dfrac{perimeter}{2} }}}}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ Semi perimeter = \dfrac{30}{2}}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ Semi\: perimeter = 15cm }}$ ⠀⠀⠀⠀ $\sf{\star{\boxed{\orange{\frak{ Area = \sqrt{s(s-a)(s-b)(s-c)} }}}}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ Area = \sqrt{ 15 ( 15 - 12 ) ( 15 - 12 )( 15 - 6) }}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ Area = \sqrt{15\times 3\times 3 \times 9}}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ Area = \sqrt{15\times 3\times 3 \times 3\times 3 }}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ Area = 9 \sqrt{15}}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ Area = 9\times 3.88}}$ ⠀⠀⠀⠀ $\sf : \implies\:{\frak{ Area = 34.92cm^2}}$ ⠀⠀⠀⠀ ⠀⠀⠀⠀ ⠀⠀⠀⠀ $\sf{\star{\boxed{\green{\frak{ Area = 34.92cm^2 }}}}}$ ⠀⠀⠀⠀ ⠀⠀⠀

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