Question

3. The area of equilateral triangle of side 'a' is 4√3 cm². Its height is given bya.2/√3b. 2√3 cmc.1/3cmd. √3 cm​

Answer 1

Step-by-step explanation:

Area of equilateral triangle is $\small{\frac{\sqrt3}{4}a^2}$.

And, as all sides are equal, base must b e of same length that 'a'.

In any triangle: area is given by-

= > Area = $\small{\frac{1}{2}}$ * base * height

= > $\small{\frac{\sqrt3}{4}a^2=\frac{1}{2} *a * height}$

= > $\small{\frac{\sqrt3}{4}a^2*2*\frac{1}{a} =height}$

= > $\small{\frac{\sqrt3}{2}a =height}$