Chapter 6, Problem 16MCQ

To determine

To calculate: the value of FG.

Answer to Problem 16MCQ

The valve of FG is $9$ m.

Explanation of Solution

Given information : consider, the trianglesprovided in the question,

  

Formula used :cross product property −

  $\begin{array}{l}\frac{a}{b}=\frac{c}{d}\\ ab=cb\\ \end{array}$

Calculation : to find the value of FG, we know that if two triangles are congruent , then their prospective sides proportion is equal.

  $\Delta ABC\sim \Delta FGH$

  $\frac{AB}{FG}=\frac{AC}{FH}$

  $\begin{array}{l}\frac{16}{x}=\frac{20}{11.25}\\ 16·11.25=20x\\ 180=20x\\ x=9\end{array}$ [use the cross product property then multiply and divide the result]

Hence,

Thus,The valve of FG is $9$ m.