Question

the triangle below is equilateral. find the length of side x to the nearest tenth.
5

Explanation:

Step1: Identify triangle properties

The triangle is equilateral, so all angles are 60°. The segment of length 5 is a leg of a 30-60-90 right triangle (since the altitude/angle bisector splits the 60° angle into two 30° angles).

Step2: Use 30-60-90 triangle ratios

In a 30-60-90 triangle, the side opposite 30° is half the hypotenuse. Here, the side of length 5 is opposite 30°, so hypotenuse $x = 2×5 = 10$.

Step3: Round to nearest tenth

$10$ rounded to the nearest tenth is $10.0$.

Answer:

10.0