Answer:
118.3 m²
Step-by-step explanation:
Step 1. Calculate the semiperimeter (s).
s = (p + q + r)/2
s = (17 + 18+ 15)/2
s = 50/2
s = 25 m
===============
Step 2. Calculate the area (A).
Use Heron’s formula:
[tex]A = \sqrt{s(s-p)(s-q)(s-r)}[/tex]
[tex]A = \sqrt{25(25-17)(25-18)(25-15)}[/tex]
[tex]A = \sqrt{25\times8\times7\times10}[/tex]
[tex]A = \sqrt{14 000}[/tex]
[tex]A = 20\sqrt{35}[/tex]
A = 118.3 m²
