Question

The altitude of an equilateral triangle, having the length of its side 12 cm is
a) 12 cm
b) 6root2 cm c) 6 cm
d) 6root3 cm​

Answer 1

Answer:

6√3 cm

Step-by-step explanation:

let ∆ ABC be an equilateral triangle of side length 12cm

let a perpendicular be drawn from A to BC is AD

Now AD is the altitude of triangle ABC

The perpendicular divides the side BC into 2 equal parts

Now ∆ADB is a right triangle with hypotenuse AB

ACCORDING TO PYTHAGORAS THEOREM

AB² = BD² + AD²

12² = 6² + AD²

144 - 36 = AD²

AD²= 108

AD = 6√3