# herons formula

• Nov 13th 2006, 09:43 PM
SHORTY
herons formula
round to the nearest square unit using herons formula
a=13 yards b= 9 yards c=5 yards
• Nov 14th 2006, 04:59 AM
Soroban
Hello, Shorty!

You do have the formula and you do have a calculator . . . right?

Heron's Formula: .$\displaystyle A\;=\;\sqrt{s(s-a)(s-b)(s-a)}$

. . where $\displaystyle s$ is the semiperimeter: $\displaystyle (a + b + c)/2$

Quote:

Round to the nearest square unit using Heron's Formula:
. . a = 13 yards, b = 9 yards, c = 5 yards

$\displaystyle s\;=\;(13 + 9 + 5)/2 \;= \;13.5$

$\displaystyle A \;= \;\sqrt{((13.5)(13.5-13)(13.5-9)(13.5-5)} \;= \;\sqrt{(13.5)(0.5)(4.5)(8.5)}$

. . $\displaystyle = \;\sqrt{258.1875} \;= \;16.0821396\;\approx\;16\text{ yd}^2$
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