Question

Ajuda!! Calcule e descubra os valores de x e y:

Answer 1

1)

$x^2 = 8^2 + 6^2 \\ \\ x^2 = 64 + 36 \\ \\ x^2 = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10$

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2)

$x^2 = 4^2 + 4^2 \\ \\ x^2 = 16 + 16 \\ \\ x^2 = 32 \\ \\ x = \sqrt{32} \\ \\ x = \sqrt{2^5} \\ \\ x = 4 \sqrt{2}$

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$y^2 = (4 \sqrt{2})^2 + 4^2 \\ \\ y^2 = 32 + 16 \\ \\ y^2 = 48 \\ \\ y = \sqrt{48} \\ \\ y = \sqrt{2^4 . 3} \\ \\ y = 4 \sqrt{3}$

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3)

$x^2 = 2^2 + 4^2 \\ \\ x^2 = 4 + 16 \\ \\ x^2 = 20 \\ \\ x = \sqrt{20} \\ \\ x = \sqrt{2^2 . 5} \\ \\ x = 2 \sqrt{5} \ cm \\ \\ x = 4,47 \ cm$

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$y^2 = 1^2 + (2 \sqrt{5})^2 \\ \\ y^2 = 1 + 20 \\ \\ y^2 = 21 \\ \\ y = \sqrt{21} \ cm \\ \\ y = 4, 58 \ cm$