Fascinating. And really useful I’m
sure, if you’re trying to find area. But
weren’t we trying to find the height of
that triangle? I don’t think a detour into
weird area formulas is what we need.
Actually, it could be exactly what
One of the neat things about geometry is
the way everything links up. Like back
in Chapter 1, when you proved Benny was
innocent because you could find the angle two
different ways, and they didn’t match up.
Hero’s formula doesn’t exist in a vacuum—it
fits into all the tools you already have in your
Geometry Toolbox. And that’s why it’s a big
help in finding not just area, but height as well.…
How could Hero’s formula for triangle area also
make it easy for you to find the triangle’s height?
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