Question

Find the semi-perimeter of a triangle whose sides are 26 cm, 28 cm, 30 cm.​

Answer 1

Given : The three sides of Triangle is 26 cm , 28 cm and 30 cm .

Need To Find : Semi-Perimeter of Triangle .

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❍ Let's consider A , B and C be the three sides of Triangle.

⠀⠀⠀⠀⠀Finding Semi- Perimeter of Triangle is Given by :

⠀⠀⠀⠀⠀$\implies \underline   {\sf{ Semi-Perimeter _{( Triangle)} = \dfrac{\:A+\:B+ \:C}{2} \: .}}$

⠀⠀⠀⠀⠀Here A is the First Side of Triangle, B is the Second side of triangle & C is the third side of triangle. and Given that all three sides of Triangle are 26 cm , 28 cm and 30 cm .

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$⠀⠀⠀

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ Semi- Perimeter = \dfrac{26 + 28 + 30}{2} }}$

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ Semi- Perimeter = \dfrac{26 + 58}{2} }}$

⠀⠀⠀⠀⠀⠀$\longmapsto { \tt{ Semi- Perimeter = \dfrac{\cancel {84}}{\cancel {2}} }}$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  Semi-Perimeter = 42 \: cm}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\underline {\therefore\:{ \mathrm { Semi- Perimeter \:of\:Triangle \:is\:42\: cm}}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\qquad\quad\boxed{\bf{\mid{\overline{\underline{\blue{\bigstar\: More \: to \; know\: :}}}}}\mid}$

• $\longrightarrow  {\sf{ Perimeter _{( Triangle)} = Side\:A+Side\:B+Side \:C \:units .}}$

• $\longrightarrow  {\sf{ Perimeter _{( Rectangle)} = 2( Length + Breadth)\:units .}}$

• $\longrightarrow  {\sf{ Perimeter _{( Square)} = 4 \times Side \:units .}}$

• $\longrightarrow  {\sf{ Circumference _{( Circle)} = 2 \times\pi \times Radius \:units .}}$

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Answer 2

Given : The three sides of Triangle is 26 cm , 28 cm and 30 cm .

Need To Find : Semi - Perimeter of Triangle .

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❍ Let's consider A , B and C be the three sides of Triangle.

⠀⠀⠀⠀⠀Finding Semi- Perimeter of Triangle is Given by :

⠀⠀⠀⠀⠀$\begin{gathered}\dashrightarrow\underline {\sf{ Semi-Perimeter _{( Triangle)} = \dfrac{\:A+\:B+ \:C}{2} \: .}}\\\end{gathered}$

⠀⠀⠀⠀⠀Here A is the First Side of Triangle, B is the Second side of triangle & C is the third side of triangle. and Given that all three sides of Triangle are 26 cm , 28 cm and 30 cm .

⠀⠀⠀⠀⠀⠀$\begin{gathered}\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}\\\end{gathered}$

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⠀⠀⠀

⠀⠀⠀⠀⠀⠀$\begin{gathered}\longmapsto { \sf{ Semi- Perimeter = \dfrac{26 + 28 + 30}{2} }}\\\end{gathered}$

⠀⠀⠀⠀⠀⠀$\begin{gathered}\longmapsto { \sf{ Semi- Perimeter = \dfrac{26 + 58}{2} }}\\\end{gathered}$

⠀⠀⠀⠀⠀⠀$\begin{gathered}\longmapsto { \sf{ Semi- Perimeter = \dfrac{\cancel {84}}{\cancel {2}} }}\\\end{gathered}$

⠀⠀⠀⠀⠀$\begin{gathered}\underline {\boxed{\green{ \sf{ Semi-Perimeter = 42 \: cm}}}}\:\bf{\bigstar}\\\end{gathered}$

⠀⠀⠀⠀⠀$\therefore{\underline{\sf{ \:Semi- Perimeter \:of\:Triangle \:is\:{\textsf{\textbf{42\: cm}}}}}}.$

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀${\textsf{\textbf{\red{@ItzAakriti⚘}}}}$