Answer:
a = 5
Step-by-step explanation:
Angles A and B are the same at 45, a and b are also the same
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(A)/a = sin(B)/b = sin(C)/c
Substitute the known values into the law of sines to find a.
SinA / a = sin(90) / 5√2
a = 5
