Question

the triangle below is equilateral. find the length of side x to the nearest tenth.
(image of an equilateral triangle with a height x drawn to one side, forming a right triangle, and one side of the equilateral triangle labeled 3)
answer attempt 1 out of 2
x =
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Explanation:

Step1: Identify angle in equilateral triangle

All angles = 60°

Step2: Use sine for right triangle

$\sin(60^\circ) = \frac{x}{3}$

Step3: Calculate x

$x = 3 \times \sin(60^\circ) = 3 \times \frac{\sqrt{3}}{2} \approx 2.6$

Answer:

2.6