Head First 2D Geometry

136 Chapter 3

integer vs. non-integer solutions

Tonight’s talk: Integer solutions vs non-integer

solutions for right triangles

Integer solutions:

I guess we’re quite a famous family. Most people can

recognize at least one or two of us. 3-4-5 gets the

most attention but that’s not the whole range.

Yeah but you totally need a calculator—nobody

knows the square roots of weird numbers by heart…

and who carries one of those around? We integer

solutions are convenient—especially if you can

remember them!

Us—precious? You’re the one with all those high-

maintenance decimal points, baby.…

That’s true. I always think you look better that way

actually.…

Non-integer solutions:

Range schmange. We don’t have a range—think of

a number, and we can find you a solution. We non-

integer solutions are flexible. Any size, any place,

you can still have a right angle.

Remember? People forget we even exist—never

mind learning specific versions of us…you lot are so

precious.

Oh, I knew you’d bring that up. Yeah, yeah, we’re

detailed—OK? But cell phones and computers have

calculators, and then you don’t have to remember a

thing—just use us where you need. And don’t forget

you can always write a root as a root.…