GIVEN;
We are given two similar triangles. These are triangle DEF and triangle GHI.
Required;
To find the length of side h.
Step-by-step solution;
For any given similar triangles, the corresponding sides always have the same ratio for all three sides.
We can set up these ratios as an equation as shown below;
[tex]\frac{DE}{GH}=\frac{DF}{GI}[/tex]
Note that the same ratio will be applicable to other corresponding sides. Now we can substitute the values given;
[tex]\begin{gathered} \frac{20}{32}=\frac{30}{h} \\ \\ Cross\text{ }multiply; \\ \\ h=\frac{30\times32}{20} \\ \\ h=48 \end{gathered}[/tex]
Therefore,
ANSWER:
The length of side h is 48 units
