geometry · worked example

Solve right triangle with legs 20 and 21

Method: Pythagorean theorem. 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. Apply a2+b2=c2a^2 + b^2 = c^2 with a=20a = 20, b=21b = 21.

  2. 400+441=841400 + 441 = 841.

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

  4. (20,21,29)(20, 21, 29) is a primitive Pythagorean triple.

Answer

c=29c = 29

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