Question

Construct a $\Delta RST$ such that $RS:ST:TR=4:6:7$.

Short answer

The figure is,

Step-by-step solution

Step 1. Given information.

It is given that,

$RS:ST:TR=4:6:7$

Step 2. Follow the ways.

Construction a horizontal line of $7$ inches long.

At one end (call it $T$) draw an arc with a radius of $6$ inches.

At the other end (call it $R$) draw an arc with a radius of $4$ inches.

Make sure these two arcs intersect at $S$.

Step 3. Diagram.

Therefore, the constructed triangle is $\Delta RST$ with $RS:ST:TR=4:6:7$.