Question

Stabiliti in care dintre urmatoarele cazuri, triunghiul ABC este dreptunchic (indicati unghiul drept)
a) AB=8cm,BE=6cm,AC=17cm
b)AB=2√3,BC=6cm,AC=2√6
c)AB=5√2cm,BC=3√2cm,AC=9cm
d)AB=9cm,BC=6cm,AC=3√5
e)AB=5√3cm,BC=3√5cm,AC=3√15cm

Answer 1

a) AB patrat=64 BC patrat=36 AC patrat=289 AB patrat+ BC patrat = AC patrat 64+36=289 100=289 Fals.Triunghiul nu e dreptunghic. b) AB patrat= 4*3=12 BC patrat=6*6=36 AC patrat=4*6=24 AC patrat+ AB patrat=BC patrat 24+12=36 Adevarat.Triunghiul e dreptunghic in A. c) AB patrat=25*2=50 BC patrat= 9*2=18 AC patrat=9*9=81 AB patrat+ BC patrat=AC patrat 50+18=81 .Fals .Triunghiul nu e dreptunghic. d) AB patrat=9*9=81 BC patrat=6*6=36 AC patrat=9*5=45 BC patrat+AC patrat=AB patrat 36+45=81 Adevarat.Triunghiul e dreptunghic in C. e) AB patrat=25*3=75 BC patrat=9*5=45 AC patrat=9*15= 135 AB patrat+BC patrat=AC patrat 75+45=135 Fals.Triunghiul nu e dreptunghic.