A right triangle has a hypotenuse of length 10/2 and an angle of 45 degrees. with a side opposite this angle with a length of 10. A second right trangle also has an angle of 45 degrees, with a side opposite this angle with a length of 14
Determine the length of the hypotenuse in the second triangle.
In a right triangle, the length of the hypotenuse is equal to the length of the side opposite the 45-degree angle times the square root of 2.
In the first triangle, the length of the hypotenuse is (10/2) * sqrt(2) = 10 * sqrt(2) / 2 = 5 * sqrt(2).
In the second triangle, the length of the side opposite the 45-degree angle is given as 14. Therefore, the length of the hypotenuse is 14 * sqrt(2).
Thus, the length of the hypotenuse in the second triangle is 14 * sqrt(2).