Question

In triungiul dreptunghic ABC,cu m(Â)=90°Avem AD| BC,DE(BC)AB=15cm si BC=25cm.calculati lungimile segmentelor [AC],[AD],[BD]si [CD].​

Answer 1

Răspuns:

Explicație pas cu pas:

AB=15cm   BC=25cm

teorema Pitagora

BC²=AB²+AC²          AC²=BC²-AB²=25²-15²=10×40   ⇒AC=20 cm

AD×BC=AC×AB  ⇒AD=15×20/25=12 cm  

Teorema catetei

AB²=BD×BC          BD=AB²/BC=225/25=9 cm

AC²=DC×BC         DC=AC²/BC=400/25=16 cm