How do you use Heron's formula to determine the area of a triangle with sides of that are 7, 15, and 10 units in length?

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How do you use Heron's formula to determine the area of a triangle with sides of that are 7, 15, and 10 units in length?

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Answer 1 · 2016-03-20T13:51:36

≈ 29.394 square units

Explanation:

This is a 2 step process.

step 1 : calculate half the perimeter (s) of the triangle

let a = 7 , b = 15 and c = 10

$s = \frac{a + b + c}{2} = \frac{7 + 15 + 10}{2} = 16$ $s = (a+b+c)/2 = (7+15+10)/2 = 16$

step 2 : calculate the area using

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

$= \sqrt{16 (16 - 7) (16 - 15) (16 - 10)}$ $= sqrt(16(16-7)(16-15)(16-10))$

$= \sqrt{16 \times 9 \times 1 \times 6} \approx 29.394 square units$ $= sqrt(16xx9xx1xx6) ≈ 29.394 " square units "$

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How do you use Heron's formula to determine the area of a triangle with sides of that are 7, 15, and 10 units in length?

1 Answer

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