Question

2. How can you find the side lengths of special right triangles, when given only one side length and the angle measure?

Answer 1

There are two well known right trianges, 3,4,5 and 5, 12, 13.
So if one length is a multiple of one of those numbers, then you have the rest.

In general pythagorean theorem applies to all right triangles
\[a^{2}+b^{2}= c^{2}\]
where a and be are the lesser two sides and c is the hypotenuse
BUT it won't be of any use if all you have is one side and the angle.

Answer 2

If the angle is adjacent to the side then,you can go for the formula of cosx and if the angle is opposite to the side then,you can go for the formula of sinx.And then apply the pythagorean's formula for finding the third side.

Answer 3

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Answer 4

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Answer 11

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