Notice that the given right triangle has a marked angle measuring 45^(∘). Therefore, by the Triangle Angle Sum Theorem, the measure of the third angle must also be 45^(∘).
In a 45^(∘)-45^(∘)-90^(∘) triangle, the legs are congruent and the hypotenuse is sqrt(2) times the length of a leg. With this information, we can find c.
5 sqrt(2) & =c sqrt(2)
Finally, let's isolate c.
