Help with a geometry question

Question

What is the side length of an equilateral triangle that has an area of 5 square units?

Answer 1

It is not usual area of equilateral triangle is equal to an integer value .

corrected so area = (1/2)base*height

here (1/2)s²*(√3)/2=5

s=√20/(√(√3))=20^1/2/3^1/4

so to construct this triangle

would need to construct sides √20/(√(√3))

which actually can be constructed

but is not as easy as constructing

triangle with integer sides

check

area=(1/2)s²*(√3)/2) for equilateral triangle

=[20^1/2/3^1/4]²*3^1/2/4

=5

Answer 2

b represents the base

b√3 / 2 represents the height

Now use the formula for area to solve and answer.