Given:
[tex]\Delta ABC\sim \Delta QRS[/tex]
To find:
The missing value of m.
Solution:
We have,
[tex]\Delta ABC\sim \Delta QRS[/tex]
Corresponding parts of similar triangles are proportional.
[tex]\dfrac{AB}{QR}=\dfrac{AC}{QS}[/tex]
Putting the given values, we get
[tex]\dfrac{m}{10}=\dfrac{2}{4}[/tex]
[tex]\dfrac{m}{10}=\dfrac{1}{2}[/tex]
Multiply both sides by 10.
[tex]\dfrac{m}{10}\times 10=\dfrac{1}{2}\times 10[/tex]
[tex]m=5[/tex]
Therefore, the value of m is 5.
