geometry · worked example

Solve 兩股為 7 和 24 的直角三角形 — c = 25

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

a2+b2=c2, a=7, b=24a^2 + b^2 = c^2,\ a=7,\ b=24

Step-by-step solution

  1. a=7a = 7b=24b = 24 套用 a2+b2=c2a^2 + b^2 = c^2

  2. 72+242=49+576=6257^2 + 24^2 = 49 + 576 = 625

  3. c=625=25c = \sqrt{625} = 25

  4. (7,24,25)(7, 24, 25) 又是另一組本原畢氏三元數 — 把它們記下來;它們常出現在標準化考試中。

Answer

c=25c = 25

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