a right triangle has a hypotenuse of length 16 and an angle of 45 degrees, with a side opposite this angle of length 8√2. a second right triangle also has an angle of 45 degrees and a side oppostie this angle with a length of 4√2. determind the length of the hypotenuse in the second triangle
In a right triangle with a 45 degree angle, the opposite and adjacent sides are equal in length.
So in the first triangle, the side opposite the angle of 45 degrees has a length of 8√2.
This means that the adjacent side, which is the hypotenuse of the second triangle, also has a length of 8√2.
Therefore, the hypotenuse in the second triangle has a length of 8√2.