Explicație pas cu pas:
a) Conform teoremei catetei=> ABpatrat=BC×BD=>15patrat=BC×9=>BC=225:9=>BC=25
DC=BC-BD=>DC=25-9=>DC=16
Conform 1 teoremei inaltimii: ADpatrat=BD×DC=>ADpatrat=9×16=>AD=
[tex] \sqrt{9 \times 16} [/tex]
=>AD=3×4=>AD=12
Conform teoremei lui Pitagora:BCpatrat=ACpatrat+ABpatrat=>ACpatrat=25patrat-15patrat=>ACpatrat=625-225=>ACpatrat=400=>AC=
[tex] \sqrt{400} [/tex]
=>AC=20
b) se rezolva asemanator!