Question

Un paralelogram ABCD are diagonala AC perpendicular pe AB si laturile AB=15cm si BC=25 cm.Calculati aria paralelogramului.​

Answer 1

$A_{ABCD} = 2 * A_{ABC} = 2 * \frac{AB*AC}{2}$

In ΔABC : m∡(A)=90°

Aplicam teorema lui Pitagora:

AC² = BC² - AB²

AC² = 25² - 15²

AC² = 625 - 225

AC = √400

AC = 20

⇒ $A_{ABCD} = 2* \frac{AB*AC}{2} = AB*AC= 15*20=300cm^{2}$

Answer 2

Răspuns:

Vezi atasament