Use Heron's formula to find the area of the triangle. Round to the nearest square foot.Side a=7 feetSide b=7 feetSide c=5 feet

The area is approximately 16 square feet.
Step - by -Step Explanation
What to find? Area of the triangle using Heron's formula.
Given:
• Side a=7 feet
,• Side b=7 feet
,• Side c=5 feet
The Heron's formula is given below:
[tex]\text{Area}=\sqrt[]{p(p-a)(p-b)(p-c)}[/tex]Where P is the perimeter of the triangle.
a, b and c are the sides of the triangle.
We need to first find the half perimeter of the triangle.
P = a+b+c /2
= 7+7+5 /2=19/2 = 9.5
Substitute the value of p, a, b and c into the formula and simplify.
[tex]\text{Area}=\sqrt[]{9.5(9.5-7)(9.5-7)(9.5-5)}[/tex][tex]=\sqrt[]{9.5\times2.5\times2.5\times4.5}[/tex][tex]=\sqrt[]{267.1875}[/tex][tex]\approx16\text{ square f}eet[/tex]Hence, the area of the triangle is approximately 16 square feet.