Find the exact length of side a

Mathematics

1 answer:

pantera1 [17]2 years ago

5 0

The figure is a scalene triangle, and the exact length of side a is √13

<h3>How to determine the exact length of side a?</h3>

To calculate the length of a, we make use of the following law of cosine

a² = b² + c² - 2bc * cos(A)

Using the values in the figure, we have:

a² = 3√2² + 5² - 2 * 3√2 * 5 * cos(45)

Evaluate the expression

a² = 18 + 25 - 30

Evaluate the sum and the difference

a² = 13

Take the square root of both sides

a = √13

Hence, the exact length of side a is √13

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