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Anon25 [30]
2 years ago
10

How do you find the area of a triangle when given only the lengths of three sides?

Mathematics
1 answer:
SashulF [63]2 years ago
3 0

Answer:

Use Heron's formula; see below.

Step-by-step explanation:

Use Heron's formula.

Let the sides of the triangle have lengths a, b, and c.

s = \dfrac{a + b + c}{2}

area = \sqrt{s(s - a)(s - b)(s - c)}

Example:

A triangle has side lengths 3, 4, and 5 units.

Find the area of the triangle.

s = \dfrac{a + b + c}{2}

s = \dfrac{3 + 4 + 5}{2}

s = 6

area = \sqrt{s(s - a)(s - b)(s - c)}

area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)}

area = \sqrt{6(3)(2)(1)}

area = \sqrt{36}

area = 6

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