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:
![Lateral\text{ Surface Area=\lparen a+b+c\rparen h}](https://img.qammunity.org/2023/formulas/mathematics/college/ebsk95speieonnevmua07x4z81hvkijomd.png)
In this case,
![\begin{gathered} a=5\text{ in.} \\ b=12\text{ in.} \\ c=13\text{ in.} \\ h=4\text{ in.} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/e53vk7mcs4kjo4tphvpoj6c7s2rhwxwuw8.png)
Substituting these values in the formula, we get
![Lateral\text{ surface Area=\lparen5+12+13\rparen4=30}*4=120\text{ in.}^2](https://img.qammunity.org/2023/formulas/mathematics/college/dsst7q2s3j8yhf9mmqp4pxcr3ruup6devm.png)
Therefore, the correct answer is 120 square in. [option 3]