Solve the triangle. B = 73°, b = 15, c = 8, find the remaining side.

Two important laws to find the missing side or angle of a triangle are the sine and cosine rules.

Answer: The value of the unknown side of the triangle is 15.22 units.

Go through the solution to understand better.

Explanation:

Given, B = 73°, b = 15, c = 8.

Applying the cosine rule:

b² = a² + c² - 2ac cos B

(15)² = (a)² + (8)² - 2a(8) cos 73º

225 = a² + 64 -16a × 0.29

0 = a² - 4.64a - 161

On solving the quadratic equation using Cuemath's quadratic calculator, we get:

a = 15.22

Thus, the value of the unknown side of the triangle is 15.22 units.