Question

Describe how you would construct each of the following.

A right triangle with hypotenuse and one leg equal to $AC$ and $BC$respectively.

Short answer

The construction is shown below:

Step-by-step solution

Step 1. Given information.

The given statement is “A right triangle with hypotenuse and one leg equal to$AC\&BC$”

Step 2. Let’s calculate the area of the path. 

The procedure to construct of square:

• Consider the point $P$on a line $l$.

• Using $P$as centre with radius equal to$BC$draw two arcs of same radii that intersects the line $l$. the intersecting points $Q\&S$.

• With $X\&Y$as centers with radius equal to$AC$draw two arcs that intersect at point $R$.

• Join $\overline{PR}\&\overline{PR}$.
• Obtain the triangle$PQR.$

The construction is shown below.

Therefore, the construction of triangle$PQR.$