Find the side of a triangle if its two sides are √2 and 1 cm and create an angle of 135 °.
| December 26, 2020 | education
we find the third side of the triangle by the cosine theorem:
a = √ (b ^ 2 + c ^ 2 – 2bc cos 135)
a = √ (2 + 1-2√2 cos (90 + 45))
a = √ (3 + 2√2 * √2 / 2)
a = √ (3 + 2)
a = √5
Answer: a = √5
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