Chapter 6.5, Problem 1C

To determine

To find $x$:

Answer to Problem 1C

The value of $x$ is 28 mm

Explanation of Solution

Given information:

Consider the given triangles STU and DEF

Where SU $=35mm\text{ TU=45 }mm\text{ EF=36 }mm\text{}\text{ DF=}x$

And $\Delta STU\sim \Delta DEF$

Calculation :

Since both the triangles are similar,then the ratio of their corresponding sides will also be equal.

  $\frac{ST}{DE}=\frac{TU}{EF}=\frac{SU}{DF}$

  $=\frac{45}{36}=\frac{35}{x}$

  $=>x=\frac{35\times 6}{45}$

  $x=28mm$