Given:
The sides of the triangular shape are 10 feet, 7 feet, and 9 feet.
Aim:
We need to find the area of the triangle.
Explanation:
let a = 10 feet, b =7 feet and c =9 feet.
Consider the formula to find the area of the triangle.
[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]
where s is the semi perimeter of the triangle.
The formula to find the semi perimeter.
[tex]s=\frac{a+b+c}{2}[/tex]
Substitute a =10 feet, b =7 feet, and c = 9 feet.
[tex]s=\frac{10+7+9}{2}[/tex]
[tex]s=13[/tex]
Substitute s =13, a =10 feet, b =7 feet, and c = 9 feet.
[tex]A=\sqrt{13\left(13-10\right)\left(13-7\right)\left(13-9\right)}[/tex]
[tex]A=\sqrt{13\times3\times6\times4}[/tex]
[tex]A=\sqrt{936}[/tex][tex]A=30.59\text{ feet }^2[/tex]
Final answer:
[tex]A=30.59\text{ feet }^2[/tex]
