What is the area of a triangle with a=25 b=13 and c=17? (picture provided)

Question

asked Jul 14, 2020 178k views

2 Answers

Vladimir Protsenko · Answer 1 · 2020-07-20T06:35:21+0000

For this case we must find the area of a scalene triangle (different sides) by means of Heron's formula:

$S = \sqrt {p (p-a) (p-b) (p-c)}$

Where:

S: It's the area

p: It is the semiperimeter

a, b, c: They are the sides:

$p = \frac {a + b + c} {2}\\p = \frac {25 + 13 + 17} {2}\\p = 27.5 \ units$

So:

$S = \sqrt {27.5 (27.5-25) (27.5-13) (27.5-17)}\\S = \sqrt {10467.1875}\\S = 102.309 \ units ^ 2$

ANswer:

Option D