Question

.3. Multiple choice question -
The measure of each side of an equilateral triangle
whose area is √3cm cube is -
(a) 8 cm (b) 2 cm (c) 4 cm (d) 16 cm​

Answer 1

(ʙ) 2ᴄᴍ✌️

❤️ʜᴏᴩᴇ ᴛʜɪꜱ ʜᴇʟᴩᴇᴅ yᴏᴜ❤️

Answer 2

$Given :-$

The measure of each side of an equilateral triangle whose area is 73 cm.

To Find :-

What is the area of an equilateral triangle.

Formula Used :-

Areaofequilateraltriangle=

4

3

$\boxed{\bold{\small{Area\: of\: equilatequilateral\eral\: triang\: =\: \dfrac{\sqrt{3}}{4}\: ×\: {(side)}^{2}}}}$

×(side) 2

Solution :-

» Area of an equilateral triangle is 73 cm

➣ According to the question by using the formula we get,

$⇒ 73 = \dfrac{\sqrt{3}}{4}\: ×\: {(side)}^{2} </p><p>4</p><p>3$

$×(side) </p><p>2$

By doing cross multiplication we get,

$⇒ 4(73) = \sqrt{3}\: ×\:{(side)}^{2} </p><p>3$

×(side) 2

$⇒ 292 = \sqrt{3}\: ×\:{(side)}^{2} </p><p>3</p><p>$

×(side) 2

$⇒ (side)² = \dfrac{292}{\sqrt{3}} </p><p>3$

292

⇒ (side)² = 17.08

$⇒ side = \sqrt{17.08} </p><p>17.08</p><p>$

➠ a = 4.13 ≈ 4 cm

∴ The side of equilateral triangle is 4 cm . Correct options is (c) ☑

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