# How do you use Heron's formula to determine the area of a triangle with sides of that are 6, 4, and 8 units in length?

≈ 11.62 square units

This method involves two steps.

First, compute half of the perimeter's sum (s).

Given that a = 6, b = 4, and c = 8 are the triangle's sides,

Step 2: use to compute the area (A)

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To use Heron's formula to determine the area of a triangle with sides of lengths 6, 4, and 8 units, you first calculate the semi-perimeter ( s ) using the formula:

[ s = \frac{a + b + c}{2} ]

where ( a ), ( b ), and ( c ) are the lengths of the triangle's sides.

For this triangle:

[ s = \frac{6 + 4 + 8}{2} = 9 ]

Next, you use Heron's formula to find the area (( A )):

[ A = \sqrt{s(s - a)(s - b)(s - c)} ]

where ( s ) is the semi-perimeter, and ( a ), ( b ), and ( c ) are the lengths of the sides.

Substituting the values:

[ A = \sqrt{9(9 - 6)(9 - 4)(9 - 8)} ]

[ A = \sqrt{9 \times 3 \times 5 \times 1} ]

[ A = \sqrt{135} ]

[ A \approx 11.618 ]

So, the area of the triangle is approximately 11.618 square units.

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When evaluating a one-sided 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 one-sided 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 one-sided 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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