Question

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The triangle below is equilateral. Find the length of side x in the simplest radical form with a rational denominator.

Answer 1

x = 7/2

Explanation:

The whole triangle is an equilateral triangle--all the sides are the same: 7, 7, 7 and all the angles are equal: 60°, 60°, 60°.

So the line thru the triangle makes two 30°-60°-90° triangles. The shortest side of the right triangle is half the length of the hypotenuse. Also, the line cuts the angle in half (30° and 30°) and also the side: 7/2