Learn Solve The Triangle B 73 B 15 C 8

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# 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.

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**Explanation**:

Given, B = 73°, b = 15, c = 8.

Applying the cosine rule:

b^{2} = a^{2} + c^{2} - 2ac cos B

(15)^{2} = (a)^{2 }+ (8)^{2 }- 2a(8) cos 73º

225 = a^{2} + 64 -16a × 0.29

0 = a^{2} - 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.

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