Question

The length of an altitude of an equilateral triangle having side length of 6 cm is $2\sqrt{6}$ cm

• A. True
• B. False

Answer 1

The correct option is A

True

Altitude will divide BC equally at D.

In right-angled triangle ABD

$A{B}^2=A{D}^2+B{D}^2\Rightarrow A{D}^2=A{B}^2-B{D}^{2}A{D}^2=6^2-3^2=36-9=24\Rightarrow AD=2\sqrt{6}$ cm