Question

determine a área de cada um dos paralelogramos abaixo

Answer 1

$S=bh$

$h^2+2^2=3^2$

$h^2+4=9$

$h^2=5$

$h=\sqrt{5}$

$S=7\sqrt{5}~\text{cm}^2$.


b) $S=bh$

$\text{sen}~30^{\circ}=\dfrac{h}{2}$


$\dfrac{1}{2}=\dfrac{h}{2}$


$h=1$

$S=5\cdot1=5~\text{cm}^2$

c) $S=bh$

Em um paralelogramo, ângulos consecutivos são suplementares.


$\text{sen}~60^{\circ}=\dfrac{h}{4}$


$\dfrac{\sqrt{3}}{2}=\dfrac{h}{4}$

$2h=4\sqrt{3}$

$h=2\sqrt{3}$


$\text{cos}~60^{\circ}=\dfrac{x}{4}$

$\dfrac{1}{2}=\dfrac{x}{4}$

$x=2$


$S=bh$

$S=6\cdot(2\sqrt{3})=12\sqrt{3}~\text{cm}^2$.