Question

A right triangle has a hypotenuse of length
and an angle of 45 degrees, with a side opposite this angle with a lengthof 10. A second right triangle also has an angle of 45 degrees, with a side opposite this angle with a length of 14. Determinethe length of the hypotenuse in the second triangle.
(1 point)
10 2
– √
The hypotenuse of the second triangle has a length of 7
The hypotenuse of the second triangle has a length of 14 2
– √
The hypotenuse of the second triangle has a length of 14
The hypotenuse of the second triangle has a length of 7 2
– √

Answer 1

sin 45° = √2/2, so hypotenuse = opposite / sin45° = 14 / (√2/2) = 14√2.

Answer: 14√2.