Q. 24 - Geometry

Question

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

A right triangle with hypotenuse of length $a$ and one leg of length $b$

Step-by-Step Solution

Answer

The figure is,

Step 1. Given information.

The figure here given is, 

Step 2. Consider the following ways.

Draw a line $l$.

Let $P$ be a point on the line.

Using $b$as radius and $P$as center draw two arcs intersecting the line $l$.

Let this points be$Q$ and $S$.

Using $a$ as radius and $Q$as center, draw an arc.

With same radius and $S$as center, draw an arc intersecting the arc drawn using $Q$as center. 

Label the point of intersection as $R$.

Draw$\overline{PR}$.

Draw$\overline{QR}$.

Step 3. Draw the figure.

The figure drawn is shown below,

Therefore, triangle $PQR$ is obtained whose hypotenuse length is equal to $a$and one leg is $b$.