Answer:
The length of each side is 3√3 in or 5.20 in to the nearest hundredth.-
Explanation:
The altitude splits up the triangle into two 30-60-90 triangles.
The ratio of the sides of these triangles is 2:1:√3.
The ratio of the altitude to the hypotenuse ( which is the side of the equilateral triangle ) = √3 : 2 so we have the equation:
2 / √3 = h / 4.5 where h is the required side.
h = 2*4.5 / √3
= 9 /√3
= 3 √3
= 5.196 in.