Question

Determine o valor de x no triângulo retângulo

(A) x = 5√3
(B) x = 24
(C) x = 12
(D) x = √2

Answer 1

$\largeO ~valor ~de ~x ~ \Rightarrow ~ x = 24\\\\\\\largeLetra ~B) ~ x = 24$

Encontrar o valor da hipotenusa do triângulo.

$a^2 = b^2 + c^2\\\\a^2 = 30^2 + 40^2\\\\a^2 = 900 + 1600\\\\a^2 = 2500\\\\a^2 = \sqrt{2500} \\\\a = 50$

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Encontrar o valor de x, x é a altura ( h) do triângulo.

$a~. ~h = b~. ~c\\\\ a~. ~x = b~. ~c\\\\ 50~. ~x = 49~. ~30\\\\ 50~. ~x = 1200\\\\\\ x = \dfrac{1200}{50} \\\\\\x = 24$

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