Mathematic Problems
345. példa

The paralell sides of the trapezoid orund the circle has length of 8 cm and 2 cm. Calculate the area of the trapezoid!

$8+2=c+c$
$10=2c$
$c=5$
${c}^{2}={x}^{2}+{h}^{2}$
${5}^{2}={\left(8-2\right)}^{2}+{h}^{2}$
$25=36+{h}^{2}$
${h}^{2}=36-25=9$
$h=\sqrt{9}=3$
$T=\frac{a+b}{2}·h=\frac{8+2}{2}·4=5·4$