geometry · worked example

Solve 兩股長為 20 與 21 的直角三角形 — c = 29

Method: 畢氏定理. Verified step-by-step solution with our free AI math solver.
Problem

a2+b2=c2, a=20, b=21a^2 + b^2 = c^2,\ a=20,\ b=21

Step-by-step solution

  1. 套用 a2+b2=c2a^2 + b^2 = c^2,其中 a=20a = 20b=21b = 21

  2. 400+441=841400 + 441 = 841

  3. c=841=29c = \sqrt{841} = 29

  4. (20,21,29)(20, 21, 29) 是一組基本畢氏三元數。

Answer

c=29c = 29

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