Question

If the perimeter of an equilateral triangle is 24 inches, what is the length of the side that is opposite the 30-degree angle of the 30-60-90 triangle that is formed by half of the equilateral triangle?(1 point)
Responses

4 inches
4 inches

8 inches
8 inches

43–√ inches
4
3

inches
4 Start Root 3 End Root inches

16 inches
16 inches

Answer 1

Perimeter 24 → each side = 24/3 = 8 inches. Cutting the equilateral triangle in half gives a 30-60-90 triangle with hypotenuse 8, and the side opposite 30° = half the hypotenuse = 4 inches.