The Solution:
Given:
Required:
To find the lateral surface area of the above triangular prism.
Step 1:
Definition.
So, applying the above formula, we have:
[tex]Lateral\text{ Surface Area=\lparen a+b+c\rparen h}[/tex]
In this case,
[tex]\begin{gathered} a=5\text{ in.} \\ b=12\text{ in.} \\ c=13\text{ in.} \\ h=4\text{ in.} \end{gathered}[/tex]
Substituting these values in the formula, we get
[tex]Lateral\text{ surface Area=\lparen5+12+13\rparen4=30}\times4=120\text{ in.}^2[/tex]
Therefore, the correct answer is 120 square in. [option 3]
