Lista de exercícios do ensino médio para impressão

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Knowing that in the right triangle ABC shown in the picture b = 1 and c = 2, find x.

a)

$\,\sqrt{2}\,$

b)

$\,\dfrac{3}{2}\,$

c)

$\,\dfrac{3\sqrt{2}}{2}\,$

d)

$\,\dfrac{2}{3}\,$

e)

$\,\dfrac{2\sqrt{2}}{3}\,$

The measure of the two legs of the right triangle T are, respectively, 12 cm and 5 cm each, so the length of the altitude to the hypotenuse of T is:

a)

$\,\dfrac{12}{5}\,$ cm

b)

$\,\dfrac{5}{13}\,$ cm

c)

$\,\dfrac{12}{13}\,$ cm

d)

$\,\dfrac{25}{13}\,$ cm

e)

$\,\dfrac{60}{13}\,$ cm

In the picture below, ABFG and BCDE are squares and their each one sides measures, respectively, a and b. Knowing that $\;\overline{AG}\,=\,\overline{CD}\,+\,2\;\,$ and the perimeter of the triangle ACG is 12, we can assure that a e b are both inside the interval:

a)

]1; 5[

b)

]0; 4[

c)

]2; 6[

d)

]3; 7[

e)

]4; 8[

If the length of the legs of a right triangle are $\,\sqrt{3}\;$ and $\;\sqrt{4}\,$, the length of the hypotenuse is:

a)

$\,\sqrt{5}\,$

b)

$\,\sqrt{7}\,$

c)

$\,\sqrt{8}\,$

d)

$\,\sqrt{9}\,$

e)

$\,\sqrt{12}\,$

The lantern shown in the picture is suspended by two strings perpendicular to each other. Knowing the length of each string is 1/2 and 6/5 , respectively, what is the distance between the lantern and the ceiling?

a)

1,69

b)

1,3

c)

0,6

d)

1/2

e)

6/13