UpStudy Free Solution:

This is a 45°-45°-90° triangle, which means it is an isosceles right triangle. In such triangles, the legs are congruent, and the hypotenuse is \(\sqrt { 2} \) times the length of each leg.

Given that one leg is 7, the hypotenuse \(b\) can be calculated as follows:

\[b = 7 \sqrt { 2} \]

Therefore, the indicated side \(b\) is:

\[b = 7 \sqrt { 2} \]

Supplemental Knowledge:

In a right triangle, the relationships between the angles and sides can be determined using trigonometric ratios. However, in this specific case, we have a 45°-45°-90° triangle, which is a special type of right triangle. The properties of a 45°-45°-90° triangle are:

1. The legs are congruent (i.e., they have the same length).

2. The hypotenuse is \(\sqrt { 2} \) times the length of each leg.

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