Question

A triangular flower garden has an area of 28 m². Two of its edges are 14 metres and

8 metres. Find the angle between the two edges.

Answer 1

30°

Explanation:

Area of a triangle can be found using either of the formula:

1. area = 1/2 x base x height

2. area = 1/2 ab sin c

Since we know the length of the two edges, we will use the 2nd formula:

Area = 1/2 ab sin c

Substituting the known values:

28 = 1/2 (14)(8) sin c

28 = 56 sin c

sin c = 0.5

c = 30°