How do you use Heron's formula to determine the area of a triangle with sides of that are 7, 15, and 9 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 9 units in length?

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Answer 1 · 2016-02-13T12:23:25

Area $~~43.39$ sq. units.

Explanation:

Heron's formula tells us that the area of a triangle with sides $a, b, and c$ is
$color(white)("XXX")"Area"_triangle=sqrt(s(s-a)(s-b)(s-c))$
where $s$ is the semi-perimter ( $(a+b+c)/2$ ).

In this case we have
$color(white)("XXX")a=7 color(white)("XX")b=15 color(white)("XX")c=9 and color(white)("XX")s=31/2$

So
$Area"_triangle = sqrt(31/2xx17/2xx1/2xx13/2)$

$color(white)("XXXX")~~41.39$

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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 9 units in length?

1 Answer

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