Question

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise $17-24$.

A segment of length $\sqrt{a^2+b^2}$

Short answer

The figure is,

Step-by-step solution

Step 1. Given information.

The figures here given are,

Step 2. Concept used.

We know if $a$ and $b$ are perpendicular to each other and two sides of triangle,

the closing side of a triangle will have a length of $\sqrt{a^2+b^2}$

Step 3. Draw the figure.

Consider the following ways-

draw two lines $a$and $b$with given measurements, perpendicular to each other

draw closing side of triangle,

this side is our required segment.

The figure drawn below,

Therefore, a segment of length $\sqrt{a^2+b^2}$ as shown in the figure above.