Question

maths please help me

Answer 1

Well, this is indeed (quite) a tricky question for individuals like me.

Anyways, here's my try at it.

Let ABC be the equilateral triangle of each side measuring 2a cm.

Through A draw a line perpendicular to base BC, in simple words, Just half it. Name it D.

Now you should have:

A right angle triangle.

1. Hypotenuse (AC or AB)

2. Base BC= ( ½ of 2a) 1a

3. Altitude AD.

Now you know which formula is in need to be applied. Indeed the Pythagoras theorem. Here's what I profound in my results:

AC²=AD²+DC²

Hence 2a²=AD²+ 1a²

=> 4a²=AD²+1a²

=> 4a²-1a²=AD²

3a²=AD²

Hence, √AD=√3a²

Altitude(AD)= SQUARE ROOT OF 3A²

OR

√3a²