Three sides of the triangle are given a = 31, b = 40√2, c = 41. Find the corner opposite side c.
| April 11, 2021 | education
We apply, for the solution, the cosine theorem for triangles, from which we determine the unknown angle C.
AB ^ 2 = AC ^ 2 + BC ^ 2 – 2 * AC * BC * CosC.
1681 = 3200 + 961 – 2 * 40 * √2 * 31 * CosС.
2480 * √2 * CosС = 2480.
СosC = 1 / √2 = √2 / 2.
C = 45.
Answer: Angle C is 45.
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