GMY-01

Pythagoras

Right triangle.

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GeometryPythagoras

Governing equation

c=\\sqrt{a^2+b^2}

where

a: a (—)
b: b (—)
c: c (—)

Lecture brief

Historical brief

Pythagoras, Heron, spherical trigonometry and the sphere’s volume are the measuring arts that predate calculus. The sheets compute length, area and angle on plane and sphere. This sheet (GMY-01 — Pythagoras) is the form associated with Pythagoras. Working symbols: $a$ , $b$ $\rightarrow$ $c$ . Right triangle.

Purpose

Purpose: compute

c

from

a

b

in Geometry via

c=\\sqrt{a^2+b^2}

Right triangle. Use it when a real geometry question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

a = 3.000\,\mathrm{—}

b = 4.000\,\mathrm{—}

, the governing relation

c=\\sqrt{a^2+b^2}

yields

c = 5.0000\,\mathrm{—}

. Right triangle. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

a a3 —b b4 —

Outputs

c c5.0000 —

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Narration of this film

Right triangle.

Reading speed

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