For each 45-45-90 triangle, you are given one of the sides opposite a 45° angle,a. Find th...

For each 45-45-90 triangle, you are given one of the sides opposite a 45° angle,

a. Find the exact lengths of the remaining sides and fill in the table.

b. If we let a represent the side opposite one of the 45° angles, use the completed portion of the table to determine the pattern for the sides opposite the angles in terms of a. Describe the pattern by completing the last row of the table for J sides b and c in terms of a.

Then use your pattern to quick-ly find the missing sides of the following 45-45-90 triangle.