Question

3. The height of an equilateral triangle is 6 cm. The measure of its side is:
(a) 4 cm
(b) 3√3 cm (c) 4√3 cm (d) 5√3 cm​

Answer 1

Answer:

c) 4√3 cm

Hope you find it helpful.

Answer 2

$\sf{\huge{\underline{\orange{Given :-}}}}$

• The height of an equilateral triangle is 6 cm.

$\sf{\huge{\underline{To\:Find :-}}}$

• The measure of its side .

$\sf{\huge{\underline{\green{Solution :-}}}}$

Let the measure of its side be x.

We know that,

The height of an equilateral triangle is

➝ h = $\dfrac{ \sqrt{3} }{2} \times side$

➝ 6 = $\dfrac{ \sqrt{3} }{2} \times x$

➝ x = $\dfrac{12}{ \sqrt{3} }$

➝ x = $\dfrac{12 \sqrt{3} }{ 3 }$

➝ x = 4√3 cm