Question

Find the area of an equilateral triangle with a side length of 14.

Answer 1

`\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}`

• Given - An equilateral triangle with side 14 cm
• To find - Area of that equilateral triangle

Solution -

`Area\: of \:equilateral \:triangle\: = \: ( √(3) )/(4) a {}^(2) \\ \\ \implies ( √(3))/(4) * 14^(2) \\ \\ \implies \: ( √(3) )/(\cancel4) * \cancel{196} \\ \\ \implies \: √(3) * 49 \\ \\ \implies \: \bold\blue{49 √(3) \:units {}^(2)}`

Further ,

value of
`\bold\orange{√(3) = 1.732}`

therefore ,

`Area = 49 * 1.732 \\ \\ \implies \: \bold\red{84.69 \: units {}^(2) \: (approx.)}`

hope helpful :D