SOLUTION: How can you tell an angle by two of the legs of a triangle? example: The length of the shorter leg is 146 and the longer leg is 186, and they meet at a 90 degree angle and i need t

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Question 728584: How can you tell an angle by two of the legs of a triangle? example: The length of the shorter leg is 146 and the longer leg is 186, and they meet at a 90 degree angle and i need to find the other two angles.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
All triangles have sides, but right triangles and isosceles triangles have legs.
The legs of a right triangle are the sides that are at right angles to each other.
Trigonometric ratios (sine, cosine, tangent) are defined based on the measures of the sides of a right triangle.
The tangent of an angle is
tangent = opposite side/adjacent side.
The smaller angle, is the one opposite the leg measuring 146, and its tangent is
146%2F186=about0.785 (rounding)
tan%5E-1%280.785%29=about38.1%5Eo (rounding)
The measure of the other angle would be 90%5Eo-38.1%5Eo=51.9%5Eo