For this case we must find the area of a scalene triangle (different sides) by means of Heron's formula:
[tex]S = \sqrt {p (p-a) (p-b) (p-c)}[/tex]
Where:
S: It's the area
p: It is the semiperimeter
a, b, c: They are the sides:
[tex]p = \frac {a + b + c} {2}\\p = \frac {25 + 13 + 17} {2}\\p = 27.5 \ units[/tex]
So:
[tex]S = \sqrt {27.5 (27.5-25) (27.5-13) (27.5-17)}\\S = \sqrt {10467.1875}\\S = 102.309 \ units ^ 2[/tex]
ANswer:
Option D
