Question

NEED HELP ASAP!! I'm doing trigonometry and I've been stuck on this problem I don't really understand it, if you could help that would be amazing.

Answer 1

Answer:

6.1

Step-by-step explanation:

Draw a picture of an equilateral triangle.  Cut the triangle in half, so that you get two 30-60-90 triangles.  The area of these smaller triangles is 8 square inches.

The short leg of these triangles (the base) is half the side length: ½ s.

According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.

Area of a triangle is half the base times the height:

A = ½bh

8 = ½ (½ s) (½ s√3)

8 = ⅛ s²√3

64 = s²√3

s² = 64/√3

s = √(64/√3)

s ≈ 6.1