# What is the perimeter of an equilateral triangle whose height is 2(radical 3)?

##### 1 Answer

Apr 28, 2016

Socratic Formatting for radical is : hashsymbol sqrt(3) hashsymbol giving:

Perimeter = 4

#### Explanation:

Let each triangle side be of length

Let height be

Then, by using Pythagoras

subtract

Multiply both sides by

Square root both sides

Mathematicians do not like the denominator to be a radical

Multiply the right by 1 but in the form of

But

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Triangle has 3 sides and each side is 4

Perimeter is