The perimeter of an equilateral triangle is 60 m- The area isA- 10 -3 m 2B- 15 -3 m 2C- 20 -3 m 2D- 100 -3 m 2

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Standard VIII

Mathematics

Heron's Formula

The perimeter...

Question

The perimeter of an equilateral triangle is 60m. The area is

$10 \sqrt{3} m^{2}$

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$15 \sqrt{3} m^{2}$

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$20 \sqrt{3} m^{2}$

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$100 \sqrt{3} m^{2}$

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Solution

The correct option is D
$100 \sqrt{3} m^{2}$

Let side of equilateral triangle be ‘a’ m.

$∴ a + a + a = 60 \Rightarrow a = 20 m$

Area $= \frac{\sqrt{3}}{4} (20) (20) m^{2} = 100 \sqrt{3} m^{2}$

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The perimeter of an equilateral triangle is 60 m. The area is
(a) $10 \sqrt{3} m^{2}$
(b) $15 \sqrt{3} m^{2}$
(c) $20 \sqrt{3} m^{2}$
(d) $100 \sqrt{3} m^{2}$

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The perimeter of an equilateral triangle is 60m. The area is

The correct option is D 100√3 m2 Let side of equilateral triangle be ‘a’ m. ∴a+a+a=60⇒a=20 m Area =√34(20)(20) m2=100√3 m2

The correct option is D
$100 \sqrt{3} m^{2}$

Let side of equilateral triangle be ‘a’ m.

$∴ a + a + a = 60 \Rightarrow a = 20 m$

Area $= \frac{\sqrt{3}}{4} (20) (20) m^{2} = 100 \sqrt{3} m^{2}$