Chapter 6, Problem 17MCQ

To determine

To calculate:the value of KL .

Answer to Problem 17MCQ

The valve of KL is $1.8f$ .

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 KL, we know that if two triangles are congruent , then their prospective sides proportion is equal.

  $PQRS\sim JKLM$

  $\frac{PQ}{JK}=\frac{QR}{KL}=\frac{RS}{LM}=\frac{SP}{ML}$

  $\frac{3}{JK}=\frac{2.4}{x}=\frac{6}{4.5}=\frac{SP}{MJ}$ [use cross product property then multiply and divide]

  $\begin{array}{l}\frac{2.4}{x}=\frac{6}{4.5}\\ 6x=2.4·4.5\\ 6x=10.8\\ x=1.8\end{array}$

Hence,

Thus,The valve of KL is $1.8f$ .