Question

side opposite to 45 degree​

Answer 1

side opposite to 45 degree = 1/root 2 × hypotenuse

Answer 2

The length of the side opposite the 45 degree angle is:

$x / \sqrt{2}$

If a triangle has a 45 degree angle, then it must be an isosceles right triangle, meaning that the other two angles are also 45 degrees each and the sides opposite those angles are of equal length.

Therefore, the side opposite to the 45 degree angle in an isosceles right triangle is the same length as the side adjacent to the 45 degree angle, and both of these sides are equal to the hypotenuse divided by the square root of 2 (since the hypotenuse is the longest side of a right triangle and is opposite the right angle).

So, if we let "x" be the length of the hypotenuse of the isosceles right triangle, then the length of the side opposite the 45 degree angle is:

$x / \sqrt{2}$

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