Question

A right triangle has a hypotenuse of length 102–√
and an angle of 45 degrees, with a side opposite this angle with a length of 10. A second right triangle 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.(1 point)
Responses

The hypotenuse of the second triangle has length 142–√
.
The hypotenuse of the second triangle has length 14 Start Root 2 End Root .

The hypotenuse of the second triangle has length 7.
The hypotenuse of the second triangle has length 7.

The hypotenuse of the second triangle has length 72–√
.
The hypotenuse of the second triangle has length 7 Start Root 2 End Root .

The hypotenuse of the second triangle has length 14.
The hypotenuse of the second triangle has length 14.

Answer 1

In a 45°-45°-90° triangle the hypotenuse = leg × √2. With the side opposite 45° = 14, the hypotenuse = 14√2.

So the correct choice is: The hypotenuse of the second triangle has length 14√2.