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    I don't get the second parts of mini explanation. What does s equal to for it to be used in there at the end?

    Module 2 Day 16 Bonus Part 2
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    • The Blade DancerT
      The Blade Dancer M0★ M1★ M2★ M3★ M4 M5
      last edited by debbie

      Module 2 Week 4 Day 16 Challenge Part 2

      I dont get the second parts of mini explanation. What does s equal to for it to be used in there at the end?

      The Blade Dancer
      League of Legends, Valorant: Harlem Charades (#NA1)
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      debbieD 1 Reply Last reply Reply Quote 3
      • debbieD
        debbie ADMIN M0★ M1 M5 @The Blade Dancer
        last edited by debbie

        @The-Darkin-Blade Hi again! The variable \(s\) is there just to make the expression look a little bit cleaner and to make Heron's Formula easier to memorize. See, \(s\) is just half of the triangle's perimeter, or the semiperimeter:

        $$ s = \frac{ a + b + c}{2} $$

        If we tried to remember Heron's Formula only in terms of \(a, b,\) and \(c,\) (without \(s\)), the expression would look a lot more ugly. It would look like this:

        $$ \sqrt{(\frac{a + b + c}{2} )(\frac{-a + b + c}{2} )(\frac{a - b + c}{2} )(\frac{a + b -c }{2}} $$

        There's another nice thing about \(s\): since it is equal to the perimeter divided by \(2,\) it takes us a long way toward the area formula for a triangle.

        Remember the area formula is

        $$ \frac{1}{2} \times \text{ base } \times \text{ height} $$

        So all you have to do to get the area of the triangle is take \(s\) and multiply it to the sum of the heights of each triangle!

        🙂

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