The area of the triangle is 15.75 square units
Calculating the area of Triangle
From the question, we are to determine the area of the given triangle
Given any triangle ABC, with sides a, b, and c with angles A, B, and C.
The area of the triangle is given by the formulae
Area = 1/2ab.sinC
Area = 1/2ac.sinB
Area = 1/2bc.sinA
Using the formula
Area = 1/2ac.sinB
From the given information
a = 9
c = 7
B = 5pi/6 radians = 150°
∴ Area of the triangle = 1/2 × 9 × 7 sin150
Area of the triangle = 1/2 × 9 × 7 × 0.5
Area of the triangle = 15.75 square units
Hence, the area of the triangle is 15.75 square units
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