Question

In trapezul MNPQ ,notam cu E si F mijloacele laturilor neparalele [ MQ] si [NP].daca MN =5 cm si EF= 11 cm,aflati PQ ..

Answer 1

Utilizind formula semisumei bazelor $EF= \frac{MN+PQ}{2}$ inlocuind primim:
$11= \frac{5+x}{2}$
Notam prin x PQ ca sa fie mai simplu,
$11= \frac{5}{2} + \frac{x}{2}$
$11- \frac{5}{2} = \frac{x}{2}$
$\frac{22}{2} - \frac{5}{2} = \frac{x}{2}$
$\frac{17}{2} = \frac{x}{2}$
daca sa trecem 2 din partea dreapta in stinga obtinem : $( \frac{17}{2}) *2=x$
$x=17$