Question

In an oblique triangle, the side lengths are 16 cm, 26 cm, and x cm. The angle opposite side x is 63o. To the nearest cm, find the value of x.

Answer 1

Answer: x = 23.5 cm

Explanation:

Use the law of Cosines: a² = b² + c² - 2bc · cos A

Given: A = 63°, a = x, b = 16, c = 26

x² = (16)² + (26)² - 2(16)(26) · cos(63°)

x² = 554.1316

x = 23.54

x ≈ 23.5