Question

in triunghiul aABC dreptunghic masura unghiului A este de 90 grade, AD perpendicular pe BC BD egal 9 cm si BC egal 25 cm .calculati perimetrul si aria triunghiului ABC .ajutorrrrr plzzz

Answer 1

BD=9cm
BC=25 cm
BC=CD+BD => CD= BC-BD=25-9=16 cm
In ∆ABC dr =>T in
AD²=CD×BD
AD² = 16×9
AD² =144
AD=√144
AD=12 cm
In ∆ABC dr =>T. Cat
AB² =BD×BC
AB² =9×25
AB² =225
AB=√225
AB=15 cm
In ∆ABC dr=>T. P
AB²+AC² =BC²
AC² = 25²-15²
AC²= 625-225
AC² =400
AC=√400
AC=20

P = AB+AC+BC = 15+20+25=60 cm
A = b×h /2= AB×AD/2= 15×12/2=90 cm²