Answer:
Step-by-step explanation:
Since the triangle is not a right angle triangle, the area can be determined by the formula below
Area = 1/2 ×abSinC
Where
a and b are the length of the sides of the triangle.
C represents the given angle in degrees.
From the information given,
a = 26 km
b = 24 km
C = 60 degrees
Therefore,
Area = 1/2 × 26 × 24 × Sin60
Area = 1/2 × 26 × 24 × 0.8660
Area = 270.192
Rounding up to the nearest square kilometer, it becomes
270 square kilometer
An alternative formula to use is the Heron's formula which is expressed as
Area = √[S(S - a)(S - b)(S - c)
Where
S = (a + b + c)/2
