Chapter 6.7, Problem 12PPS

To determine

To draw: the triangle similar to $\Delta XYZ$

Explanation of Solution

Given information:

Consider scale factor $=\frac{4}{3}$

  

Calculation:

Let the triangles $\Delta XYZ\cong \Delta X\text{'}Y\text{'}Z\text{'}$

So, the corresponding sides are in same ratio.

The sides of triangle $\Delta X\text{'}Y\text{'}Z\text{'}$ are

$\begin{array}{l}\Rightarrow X\text{'}Z\text{'}=XZ\times \frac{4}{3}\\ =6\times \frac{4}{3}\\ =8\text{ in}\end{array}$

  $\begin{array}{l}\Rightarrow C\text{'}D\text{'}\\ =CD\times \frac{4}{3}\\ =9\times \frac{4}{3}\\ =12\text{in}\end{array}$

Graph:

The triangle similar to $\Delta XYZ$ is