If each side of an equilateral triangle is 37 √(3) cm, then its altitude (in cm) is equal to:

If each side of an equilateral triangle is 37 √(3) cm…

If each side of an equilateral triangle is 37 ${\sqrt{3}}$ cm, then its altitude (in cm) is equal to:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 55.5.

Altitude of an equilateral triangle = (√3/2) × side

= (√3/2) × 37√3

= (37 × 3)/2

= 111/2 = 55.5 cm

Therefore, the altitude of the equilateral triangle is 55.5 cm.