Answer:
Area = 72.62 m²
Explanation:
Area of a triangle with the given three sides is given by,
Area =
![√(s(s-a)(s-b)(s-c))](https://img.qammunity.org/2022/formulas/mathematics/college/tx3mvhcwsa4si3aelxi3q5pi4k605du2cn.png)
Here, s =
![(a+b+c)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/8w0qkn8jrvbmo6vxeuvxob39p6cbxe08l9.png)
And a, b, c are the sides of the triangle.
From the question,
a = 20 m, b = 10 m and c = 15 m
s =
![(20+10+15)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/j552ieo1q1te9ed9n1y58n14lltezgk8dp.png)
s = 22.5
Substitute these values in the formula,
Area =
![√(22.5(22.5-20)(22.5-10)(22.5-15))](https://img.qammunity.org/2022/formulas/mathematics/college/ta11dx04w5le64c6ma9oq4a06y81ptbr1r.png)
=
![√(22.5(2.5)(12.5)(7.5))](https://img.qammunity.org/2022/formulas/mathematics/college/c4smggloe74n7olzgm5uaz88u8maa0529r.png)
=
![√(5273.4375)](https://img.qammunity.org/2022/formulas/mathematics/college/bfsmbm3ealgkojema072j6zewohquqjgbe.png)
= 72.62 m²