Question

Determine as medidas indicadas nos triângulos retângulos:

Answer 1

$a)$ $4\sqrt[2]{5}$

$b) 15$

Pelo Teorema de Pitágoras pode-se determinar as medidas desconhecidas

nos triângulos.

$h^2 = a^2 + b^2\\a) 12^2 = x^2 + 8^2\\\\\\144 = x^2 + 64\\\\x^2 = 144 - 64\\\\x^2 = 80\\\\x = \sqrt[2]{80}\\\\x = \sqrt[2]{5.16}\\\\x = 4.\sqrt[2]{5}$

$b) h^2 = a^2 + b^2\\\\ 25^2 = 20^2 + x^2\\\\ 625 = 400 + x^2\\\\ x^2 = 625 - 400\\\\ x^2 = 225\\\\ x = \sqrt[2]{225} \\\\ x = 15$

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