Given:
Triangle EFG is similar to triangle HIJ.
To find:
The measure of side IJ.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Triangle EFG is similar to triangle HIJ.
[tex]\dfrac{EF}{HI}=\dfrac{FG}{IJ}[/tex]
Putting the given values, we get
[tex]\dfrac{7}{32}=\dfrac{4}{IJ}[/tex]
[tex]7\times IJ=4\times 32[/tex]
[tex]IJ=\dfrac{128}{7}[/tex]
[tex]IJ=18.2857[/tex]
[tex]IJ\approx =18.3[/tex]
Therefore, the measure of side IJ is 18.3 units.
