Question

What is the attitude of an equilateral triangle of each side 6cm

Answer 1

Answer:

here are the step-by-step explanation

Step-by-step explanation:

What is the length of the altitude of an equilateral triangle with a side of 6 cm?

In an equilateral triangle ABC, the altitude AD on side BC is also the median.

So, BD = DC

Now, in right triangle ADC,

AC^2 = AD^2 + DC^2

AC^2 = AD^2 + (AC^2)/4 [Since, AC = BC = 2DC]

AD^2 = AC^2 - (AC^2)/4

AD^2 = 3(AC^2)/4

AD = (√3)AC/2

Now, we know the value of AB = AC = BC = 6cm

So, AD = (√3) × 6/2 cm = (3√3) cm

So, the required altitude of the equilateral triangle is 3√3 cm.