Question

An equilateral triangle has side 16√3cm. Find the perimeter and area the the triangle.
HINT: Area = √3/4*(a)2
Perimeter = 3*a

Answer 1

$\Huge{\underline{\underline{\blue{\mathfrak{Answer :}}}}}$

$\Large{\sf{Given :}}$

Side of equateral triangle is 16√3 cm.

$\rule{200}{2}$

$\LARGE{\sf{To \: Find :}}$

Area and perimeter of triangle.

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$\LARGE{\sf{Solution :}}$

We know that,

$\LARGE{\boxed{\boxed{\green{\tt{perimeter \: = 3 \times a}}}}}$

(Putting Values)

Perimeter = 3(16√3)

Perimeter = 48√3 cm

$\Large{\boxed{\red{\sf{Perimeter \: = \: 48 \sqrt{3}\: cm}}}}$

$\rule{200}{2}$

Now,

$\LARGE{\boxed{\boxed{\green{\tt{Area = \frac{\sqrt{3}}{4} \: a^2}}}}}$

$\sf{area = \frac{ \sqrt{3} }{4} \times {(16 \sqrt{3}) }^{2} } \\ \\ \sf{area = \frac{ \sqrt{3} }{ \cancel4} \times \cancel{16} \times 16 \times 3} \\ \\ \sf{area = \sqrt{3} \times 16 \times 12} \\ \\ \sf{area = 192 \sqrt{3} }$

$\Large{\boxed{\red{\sf{Area \: = \: 192 \sqrt{3} \: cm^2}}}}$

Answer 2

Answer:

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