Answer:
JG = 6.5
JH = 6.5√2
Step-by-step explanation:
The triangle JHG is a 45-45-90 triangle because its interior angles are 45, 45, and 90 degrees. The legs of these triangles have the same length and the hypotenuse is √2 times the leg.
Then, the legs of the triangle have the same length, so
JG = GH
JG = 6.5
Additionally, the hypotenuse is
JH = √2(GH)
JH = √2(6.5)
JH = 6.5√2
Therefore, the length of the unlabeled sides are:
JG = 6.5
JH = 6.5√2