Question

A right triangle had a hypotenuse of length 82–√ and an angle of 45°, with a side opposite this angle of 8. A second triangle also has an angle of 45°, with the side opposite this angle with a length of 12. Determine the length of the hypotenuse in the second triangle. (1 point)
Responses

The hypotenuse of the second triangle is 12 The hypotenuse of the second triangle is 12

The hypotenuse of the second triangle is 62–√ The hypotenuse of the second triangle is 6 square root of 2

The hypotenuse of the second triangle is 122–√The hypotenuse of the second triangle is 12 square root of 2

The hypotenuse of the second triangle is 6

Answer 1

In a 45°–45°–90° triangle the hypotenuse = leg × √2. With leg = 12, hypotenuse = 12√2.