Question

in triunghiul dreptunghic abc m( a)=90° ad perpendicular pe bc d apartine bc AB=30 CD=32 sa se afle perimetrul si aria ABC

Answer 1

teorema catetei
AB²=BC×CD
notam BD=x
30²=(x+32)×x
x²+32x-900=0
Δ=(32)²+4×900=1024+3600=4624
x=-32+√4624/2=(-32+68)/2=18
x=-32-√4624/2=(-32-68)/2=-50
alegem solutia pozitiva    x=18
BC=18+32=50
AC=√32×50=√1600=40
P=30+40+50=120