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What is the value opposite to each 45º angle?
1) x
2) x‚àö2
3) x/‚àö2
4) 2x

1 Answer

2 votes

Final answer:

The value opposite to each 45° angle in a right triangle is x√2, which is the hypotenuse in a 45°-45°-90° triangle.

Step-by-step explanation:

The value opposite to each 45° angle in a right-angled triangle, considering 'x' to be the length of the adjacent side (or the opposite side, as they are the same in a 45°-45°-90° triangle), is x√2. This is derived from the properties of a 45°-45°-90° triangle, in which the sides opposite the 45° angles are equal, and the side opposite the 90° angle (hypotenuse) is √2 times longer than the other sides. Therefore, the answer to the question is option 2) x√2.

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