A triangle has sides with lengths: 7, 2, and 8. How do you find the area of the triangle using Heron's formula?

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A triangle has sides with lengths: 7, 2, and 8. How do you find the area of the triangle using Heron's formula?

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Answer 1 · 2018-03-26T13:13:59

$~~6.437" to 3 dec. places"$

Explanation:

$"Heron's formula is in 2 parts"$

$• " calculate the semi-perimeter (s)"$

$s=(a+b+c)/2$

$"where a, b and c are the sides of the triangle"$

$"let "a=7, b=2" and "c=8$

$rArrs=(7+2+8)/2=17/2$

$• " calculate the area (A) using the formula"$

$A=sqrt(s(s-a)(s-b)(s-c))$

$color(white)(A)=sqrt(17/2(17/2-7)(17/2-2)(17/2-8))$

$color(white)(A)=sqrt(17/2(3/2)(13/2)(1/2))$

$color(white)(A)=sqrt(663/16)~~6.437$

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A triangle has sides with lengths: 7, 2, and 8. How do you find the area of the triangle using Heron's formula?

1 Answer

Explanation:

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