How to find side of triangle if two sides and one angle is known?

1 answer:

7 0

The Law of Cosines can be used.

If the given angle is opposite one of the given sides, the Law of Sines can be used.

Law of Cosines:
.. c^2 = a^2 +b^2 -2ab*cos(C) . . . . . for any permutation of sides a, b, c, and opposite angle C

Law of Sines:
.. a/sin(A) = b/sin(B) = c/sin(C)

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podryga [215]

Answer:

Step-by-step explanation:

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svetlana [45]

Answer:

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Step-by-step explanation:

You could use the Quadratic formula to solve this, but there is a bit of a logical/intuitive gap you have to jump over at the end to get the answer.

For a straightforward mathematical explanation of what the area is equal to, you need to complete the square. From there you acknowledge that a square's sides are equal to each other and then you'll have your lengths.

My work is in the attachment. Comment with any questions.