Question

Un triunghi dreptunghic are aria de 24 cm si lungimea inaltimeii de 4.8 cm . Afleti lungimea ipotenuzei si produsul lungimilor celor doua ( 2 ) catete .

Answer 1

Avem triunghi ABC cu unghi drept in A AM inaltime deci AM perpendicular pe BC Aria=baza*inaltimea/2 Aria=BC*AM/2 2*aria=BC*AM Aria=24=> 2*24=BC*AM AM=4,8=> 48=4,8*BC=>BC=48:4,8=>BC=48:48/10=>BC=48*10/48=>BC=480/48=>BC=10 AM*BC=AB*AC AM=4,8 si BC=10=> 4,8*10=AB*AC 48=AB*AC

Answer 2

aria tr dreptunghic poate fi exprimata in 2 moduri astfel incit sa ne avantajeze in  rezolvarea acestei probleme.
1) A=$\frac{ c_{1}c_{2} }{2}$=24⇒$c_{2} c_{2}$=48
2) A=$\frac{ i_{p} h}{2}$=24⇒$i_{p} = \frac{48}{4,8} =10$