Answer:
The side C equals to 10. hence the answer is letter A
Explanation:
To solve this, we need to use trigonometric functions.
we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.
Given α= 45º and Lo= 5√2 and replacing in the equation:
sin (45º) = 5√2 / C (1)
Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):
sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10