Question

Item 13

You are planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the garden to determine how much topsoil you will need.

Answer 1

4√3 ft²

Explanation:

Area of the garden = ½*b*h

b = 4ft

To find h, apply trigonometric function:

Reference angle = 60°

Opposite = h

Hypotenuse = 4 ft

Apply SOH:

Sin 60° = Opp/Hyp

Sin 60 = h/4

4*sin 60 = h

4*√3/2 = h (sin 60 = √3/2)

2*√3 = h

h = 2√3

Find the area:

Area = ½*b*h

= ½*4*2√3

= 4√3 ft²