How do you use Heron's formula to determine the area of a triangle with sides of that are 14, 8, and 17 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 14, 8, and 17 units in length?

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Answer 1 · 2018-06-03T10:48:55

$A_{t} = 55.53$ $color(indigo)(A_t = 55.53$ sq units

Explanation:

$a = 14, b = 8, c = 17$ $a = 14, b = 8, c = 17$

According to Heron’s formula, area of triangle

$A_{t} = \sqrt{s (s - a) (s - b) (s - c)}$ $A_t = sqrt(s (s-a) (s-b) (s-c))$ where s is the semi perimeter & $= \frac{a + b + c}{2}$ $= (a + b + c)/2$

$s = \frac{14 + 8 + 17}{2} = 19.5$ $s = (14 + 8 + 17)/2 = 19.5$

$A_{t} = \sqrt{19.5 \cdot (19.5 - 14) (19.5 - 8) (19.5 - 17)}$ $A_t = sqrt(19.5 * (19.5 - 14) (19.5-8) (19.5-17))$

$A_{t} = 55.53$ $color(indigo)(A_t = 55.53$ sq units

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How do you use Heron's formula to determine the area of a triangle with sides of that are 14, 8, and 17 units in length?

1 Answer

Explanation:

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