Question

A right triangle has a hypotenuse of length 102–√
10
2
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–√
14
2
.
The hypotenuse of the second triangle has length 14 Start Root 2 End Root .

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

The hypotenuse of the second triangle has length 7.

Answer 1

hypotenuse = 14√2

Reason: a right triangle with a 45° angle is isosceles (legs equal), so hypotenuse = leg·√2. With leg = 14, hypotenuse = 14√2.