In a right-angled triangle the other two angles are both 45 degrees. The length of the opposite side can be calculated by
- sin 45 degrees x length of the hypotenuse side of the triangle.
- sin 45 degrees x length of the adjacent side of the triangle.
- cos 45 degrees x length of the adjacent side of the triangle.
Explanation
In a right-angled triangle the side opposite an angle equals the hypotenuse multiplied by the sine of that angle, since sine = opposite / hypotenuse. So the opposite side is sin 45 degrees * hypotenuse. Multiplying by the adjacent side instead would not give the correct length.
RK asking:
Any explanation please
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