Chapter 6.9, Problem 5PPS

To determine

The length of missing side x in given two similar triangles.

Answer to Problem 5PPS

Value of missing side x is 120 yards.

Explanation of Solution

Given information: 

Following figure, showing two similar triangles is given:

  

Concept used:

As both triangles are similar given, so the ratios of corresponding sides are proportional, so

  $\frac{\text{Slant side of larger triangle}}{\text{Slant side of smaller triangle}}=\frac{\text{Base of larger triangle}}{\text{Base of smaller triangle}}$

Calculation: Based on above proportion,

  $\frac{x}{40}=\frac{105}{35}$

Or, $x=\frac{105\times 40}{35}=40\times 3=120$ (On cross multiply) So, length of missing side x is 120 yards.