SOLUTION: If the opposite side is 30 cm,and the angle is 45 degrees, how long is the adjacent side?

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Question 878226: If the opposite side is 30 cm,and the angle is 45 degrees, how long is the adjacent side?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If you are not told it is a right triangle, there is no way to find the leg of either of the two sides (adjacent sides) that form that angle.

If it is a right triangle, the adjacent highlight%28leg%29 measures highlight%2830cm%29 .
There is another adjacent side, the hypotenuse, that measures 30sqrt%282%29cm .

In a right triangle with a 45%5Eo angle, the other acute angle also measures 45%5Eo ,
so it is an isosceles right triangle, with two sides of equal length (the legs) opposite the two 45%5Eo angles.
From the point of view of one of the two 45%5Eo angles,
one of the legs is the opposite leg,
and the other (equal length) leg is the adjacent leg.