Question

In the given figure, value of x(in cm) is
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Answer 1

x is equal to 7 this is the solution

Answer 2

Given:

Find the value of $x$ in cm,

Solution:

Refer the question image,

Take triangle PAB and triangle PQR,

Find, $\[\frac{{PA}}{{PQ}} = \frac{{PB}}{{PR}}\]$

$\[ \Rightarrow \frac{{PA}}{{PA + AQ}} = \frac{{PB}}{{PB + BR}}\]$

$\[ \Rightarrow \frac{{2.4}}{{3.6 + 2.4}} = \frac{{3.2}}{{4.8 + 3.2}}\]$

$\[ \Rightarrow \frac{{2.4}}{6} = \frac{{3.2}}{8}\]$

$\[ \Rightarrow \frac{2}{5} = \frac{2}{5}\]$

Since the corresponding sides of triangle PAB and triangle PQR are in the same proportion.

Therefore, triangle PAB and triangle PQR are similar.

Calculate the value of $x$,

$\[\begin{array}{l} \Rightarrow \frac{2}{5} = \frac{2}{x}\\ \Rightarrow x = 5\end{array}\]$

Hence the value of $x$ is 5 cm.