Given :
Two similar triangles ΔABC and ΔSTU .
To Find :
The value of x.
Solution :
Since, ΔABC and ΔSTU are similar, so ratio of their sides are equal.
[tex]\dfrac{AB}{AC} = \dfrac{SU}{ST}\\\\\dfrac{x}{21}=\dfrac{13}{5}\\\\x = \dfrac{21\times 13}{5}\\\\x = 54.6[/tex]
Therefore, value of x is 54.6 .
