Each side of an equilateral triangle is 8 cm long- Its area is-a- 32 cm2-b- 64 cm2-c- 163 cm2-d- 162 cm2

(c) 163 cm2It is given that one side of an equilateral triangle is 8 cm. there4; Area of the equilateral triangle = 34Side2 sq. units nbsp; nbsp; nbsp; ...

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Standard VII

Mathematics

Problems Related to Area of Plane Figures

Each side of ...

Question

Each side of an equilateral triangle is 8 cm long. Its area is

(a) 32 cm²
(b) 64 cm²
(c) $16 \sqrt{3}$ cm²
(d) $16 \sqrt{2}$ cm²

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Solution

(c) $16 \sqrt{3}$ cm²

It is given that one side of an equilateral triangle is 8 cm.
∴ Area of the equilateral triangle = $\frac{\sqrt{3}}{4} {(Side)}^{2}$ sq. units
= $\frac{\sqrt{3}}{4} {(8)}^{2}$ cm²
= $(\frac{\sqrt{3}}{4} \times 64)$ cm²= $16 \sqrt{3}$ cm²

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Similar questions

Q. Side of an equilateral triangle expands at the rate of 2 cm/sec. The rate of increase of its area when each side is 10 cm is
(a)

10 \sqrt{2} {cm}^{2} / \sec

(b)

10 \sqrt{3} {cm}^{2} / \sec

Q. Each side of an equilateral triangle is increasing at the rate of 8 cm/hr. The rate of increase of its area when side is 2 cm, is

(a)

8 \sqrt{3} {cm}^{2} / hr

(b)

4 \sqrt{3} {cm}^{2} / hr

(c)

\frac{\sqrt{3}}{8} {cm}^{2} / hr

(d) none of these

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Each side of an equilateral triangle is 8 cm long. Its area is (a) 32 cm2 (b) 64 cm2 (c) 163 cm2 (d) 162 cm2

(c) 163 cm2It is given that one side of an equilateral triangle is 8 cm.∴ Area of the equilateral triangle = 34Side2 sq. units = 3482 cm2 = 34×64 cm2 = 163 cm2

Each side of an equilateral triangle is 8 cm long. Its area is

(a) 32 cm²
(b) 64 cm²
(c) $16 \sqrt{3}$ cm²
(d) $16 \sqrt{2}$ cm²

(c) $16 \sqrt{3}$ cm²

It is given that one side of an equilateral triangle is 8 cm.
∴ Area of the equilateral triangle = $\frac{\sqrt{3}}{4} {(Side)}^{2}$ sq. units
= $\frac{\sqrt{3}}{4} {(8)}^{2}$ cm²
= $(\frac{\sqrt{3}}{4} \times 64)$ cm²= $16 \sqrt{3}$ cm²