Question

Teorema de Pitágoras

1) Calcule x nas figuras abaixo:

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Answer 1

Resposta:

Teorema de Pitágoras = $a^{2}+ b^{2} =c^{2}$

a)

$(3\sqrt{2} )^{2} + x^{2} = (3\sqrt{11} )^{2}$

9.2 + $x^{2}$ = 9.11

x = $\sqrt{99-18}$

x = $\sqrt{81}$

x = 9

b)

$2x^{2} +(5\sqrt{3} )^{2} = 3x^{2}$

$x^{2} = (5\sqrt{3} )^{2}$

x = $5\sqrt{3}$

c)

$(3\sqrt{3} )^{2} +x^{2} =3x^{2}$

$2x^{2} = 9.3$

$x = \sqrt{\frac{27}{2} }$

x = $\frac{3\sqrt{3} }{\sqrt{2}}$

x = $\frac{3\sqrt{6} }{2}$

d)

$x^{2} +3^{2} = (x+1)^{2}$

$x^{2} +9 = x^{2} +2x + 1$

2x = 8

x = 4

Espero ter ajudado :D