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.

Question

Mathematics

Ayana Luna

17 February, 19:19

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.

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Answers (1)

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Gunner · Answer 1

Answer: x = 23.5 cm

Step-by-step 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