Question

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

Answer 1

The most appropriate choice for equilateral triangle will be given by

Value of x = $\frac{9\sqrt{3}}{2}$

What is equilateral triangle?

A closed two dimensional figure with three sides and three angles is called triangle.

Based on sides of triangle, triangle can be classified as equilateral, isosceles and scalene

The triangle whose all sides and all angles are equal is called equilateral triangle. All the angles of equilateral triangle  are 60°

Here,

Since the triangle is equilateral, angle of triangle is 60°

sin 60° = $\frac{x}{9}$

$\frac{\sqrt{3}}{2}$ = $\frac{x}{9}$

$x = \frac{9\sqrt{3}}{2}$

To learn more about equilateral triangle, refer to the link:

brainly.com/question/2351368

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