How do you find the area of a triangle given a=3, b=7, c=8?

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How do you find the area of a triangle given a=3, b=7, c=8?

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Answer 1 · 2015-07-10T01:02:10

Use Heron's formula to find the area of the triangle = $6sqrt(3)$

Explanation:

Given three sides of a triangle: $a, b, c$
and the semi-perimeter $s = (a+b+c)/2$

Heron's formula says that the area of the triangle can be calculated as:
$color(white)("XXXX")$ $A= sqrt(s(s-a)(s-b)(s-c))$

Given: $color(white)("XXXX")$ $a=3$ $color(white)("XXXX")$ $b=7$ $color(white)("XXXX")$ $c=8$
$color(white)("XXXX")$ $s=9$
and the area is
$color(white)("XXXX")$ $A = sqrt(9*6*2*1)$
$color(white)("XXXX")$ $color(white)("XXXX")$ $=sqrt(108)$
$color(white)("XXXX")$ $color(white)("XXXX")$ $=6sqrt(3)$

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How do you find the area of a triangle given a=3, b=7, c=8?

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