Question

find the area of an equalater triangle whose perim
eter is 180 cm​

Answer 1

Question

Find the area of an equilateral triangle whose perimeter is 180cm.

Answer

➡Area of Triangle is 900√3 cm²

Given

• Perimeter of triangle = 180cm

To Calculate

• Area of Triangle

Solution

Let side of triangle be x

Perimeter = 180

$\bf: \implies x + x + x = 180$

$\bf: \implies 3x = 180$

$\bf: \implies x = 180 \div 3$

$\bf: \implies x = 60cm$

Area of equilateral triangle =

$\bf \to \frac{ \sqrt{3} }{4} \times {side}^{2}$

$\bf \to \frac{ \sqrt{3} }{4} \times {60}^{2}$

$\bf \to \frac{ \sqrt{3} }{4} \times 60 \times 60$

$\bf \to \frac{ \sqrt{3} } {\cancel {4} }\times{\cancel{3600}} \: \: 900$

$\bf \to \sqrt{3} \times 900$

$\bf \to 900 \sqrt{3 } {cm}^{2}$

Therefore, Area of Triangle is 900√3 cm².

Answer 2

Answer:

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Step-by-step explanation:

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