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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

Use Heron's formula to find the area of the triangle. Round to the nearest square-example-1
User Heril Muratovic
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1 Answer

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24 votes

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:


\text{Area}=\sqrt[]{p(p-a)(p-b)(p-c)}

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.


\text{Area}=\sqrt[]{9.5(9.5-7)(9.5-7)(9.5-5)}
=\sqrt[]{9.5*2.5*2.5*4.5}
=\sqrt[]{267.1875}
\approx16\text{ square f}eet

Hence, the area of the triangle is approximately 16 square feet.

User Arun T
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