The altitude of an equilateral triangle is 4.5 in. Find it's sides.

The length of each side is 3√3 in  or 5.20 in to the nearest hundredth.-

Step-by-step 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.

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