Answer:
[tex]30 {in}^{2} [/tex]
Step-by-step explanation:
First we have to find the value of the other leg of the triangle. To find that we can use the PYTHAGORAS theorem because this is an right triangle.
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {13}^{2} = {12}^{2} + {b}^{2} \\ 169 = 144 + {b}^{2} \\ 169 - 144 = {b}^{2} \\ 25 = {b}^{2} \\ b = \sqrt{25 } \\ b = 5 \: \: in[/tex]
Now let's find the area.
[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 {in}^{2} [/tex]
hope this helps
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