geometry · worked example

Solve segitiga siku-siku dengan sisi siku-siku 6 dan 8 — c = 10

Method: teorema Pythagoras. Verified step-by-step solution with our free AI math solver.
Problem

a2+b2=c2, a=6, b=8a^2 + b^2 = c^2,\ a=6,\ b=8

Step-by-step solution

  1. Identifikasi sisi siku-siku: a=6a = 6, b=8b = 8.

  2. Terapkan teorema Pythagoras: a2+b2=c2a^2 + b^2 = c^2.

  3. Substitusikan: 62+82=c26^2 + 8^2 = c^2, sehingga 36+64=c236 + 64 = c^2, yaitu c2=100c^2 = 100.

  4. Ambil akar kuadrat positif: c=10c = 10.

  5. Catatan: (6,8,10)(6, 8, 10) hanyalah tripel (3,4,5)(3, 4, 5) yang diskalakan dengan faktor 22 — semua (3k,4k,5k)(3k, 4k, 5k) adalah segitiga siku-siku.

Answer

c=10c = 10

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