how do i find hypotenuse given one side and angle

Question

It is a right angle 

Answer 1

I am sure you meant to say it is a right TRIANGLE.  You can find the hypotenuse using trigonometry.

 

If the angle θ is between the known side A and the hypotenuse C, then 

 

A/C = cosθ ⇒

 

C = A/cosθ

 

If the angle θ is between the unknown side and the hypotenuse C, then

 

A/C = sinθ

 

C = A/sinθ