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 length of the two parallel sides of a right trapezoid are 6 cm and 8 cm, respectively top and bottom bases, and the altitude is 4 cm. The distance between the intersection of the two straight lines that contain the non-parallel legs and the midpoint of the major base is:

a)

$\,5\sqrt{15}\,$ cm

b)

$\,2\sqrt{19}\,$ cm

c)

$\,3\sqrt{21}\,$ cm

d)

$\,4\sqrt{17}\,$ cm

e)

none of these

In the picture below, ABCD is a rectangle, $\,\overline{AB}\,=\,4\,$, $\,\overline{BC}\,=\,1\;$ and $\,\overline{DE}\,=\,\overline{EF}\,=\,\overline{FC}\;$. The length of $\,\overline{BG}\,$ is:

a)

$\,\dfrac{\sqrt{5}}{4}\,$

b)

$\,\dfrac{5}{2}\,$

c)

$\,\dfrac{9}{4}\,$

d)

$\,\dfrac{11}{4}\,$

e)

$\,\dfrac{5}{\sqrt{2}}\,$