Question

You are planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of thegarden to determine how much topsoil you will need.12 ft60⁰12 ft30⁰12 ftSubstitute the values of b and h in the formula A = 1·b·h for the area of the garden.4-400:: 6:: 12# √6√12 :: 3√/12:: 6√3 :: 12√3

Answer 1

In a 30-60-90 triangle, we have the following property.

Half of the base is 6 ft, therefore, the height of the triangle is

$h=6\sqrt{3}\text{ ft}$

Given that

b = 12 ft, and h = 6√3, then the area is

$A=\frac{1}{2}\Big(12\Big)\Big(6\sqrt{3}\Big)$