How do you use Heron's formula to find the area of a triangle with sides of lengths #8 #, #3 #, and #9 #?
Simplify.
Heron's Formula
Substitute the known values into the equation and solve.
Simplify.
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To use Heron's formula to find the area of a triangle with side lengths of 8, 3, and 9, follow these steps:
 Calculate the semiperimeter of the triangle, denoted as ( s ), by adding the lengths of all three sides and dividing by 2.
 Use the semiperimeter to find the area using Heron's formula, which states that the area (( A )) of a triangle with side lengths ( a ), ( b ), and ( c ) is given by: [ A = \sqrt{s(s  a)(s  b)(s  c)} ]
Now, let's calculate:

Semiperimeter ( s ): [ s = \frac{8 + 3 + 9}{2} = \frac{20}{2} = 10 ]

Use Heron's formula: [ A = \sqrt{10(10  8)(10  3)(10  9)} ]
[ A = \sqrt{10(2)(7)(1)} ]
[ A = \sqrt{140} ]
[ A \approx 11.83 ]
So, the area of the triangle with side lengths 8, 3, and 9 is approximately 11.83 square units.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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