Question

Calcule X nas figuras abaixo:

Answer 1

Teorema de Pitágoras.

$a) x^2 = 9^2 + 12^2\\\\x^2 = 81 + 144\\\\x^2 = 225\\\\x = \sqrt[2]{225}\\\\x = 15$

$b) 5^2 = x^2 + 4^2\\\\ 25 = x^2 + 16\\\\ x^2 = 25 - 16\\\\ x^2 = 9\\\\ x = \sqrt[2]{9}\\\\x = 3$

$c) 10^2 = x^2 + 8^2\\\\ 100 = x^2 + 64\\\\ x^2 = 100 - 64\\\\ x^2 = 36\\\\ x = \sqrt[2]{36}\\\\x = 6$

$d) 20^2 = (3x)^2 + (4x)^2\\\\ 400 = 9x^2 + 16x^2\\\\ 400 = 25x^2\\\\ x^2 = 400 / 25\\\\ x^2 = 16\\\\ x = \sqrt[2]{16}\\\\ x = 4$

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