Question

va rog doar 4b pls !!!!!!!!!!!​

Answer 1

Răspuns: BD=9 cm , CD=16 cm , BC=25 cm , AD=12 cm , AC=20 cm , AB=15 cm

Explicație pas cu pas:

ΔABC dreptunghic in A : BD=x , CD=y , BC=a , AB=c , AC=b , AD=h

x/y=9/16 =>16x=9y

y-x=7 |* 9 =>16x-9x=63 =>7x=63=>x=9

y-9=7 =>y=9+7=>y=16 cm

a=y+x => a=9+16 =>a=25 cm

h²=x*y =>h²=16*9=>h=√144 =>h=12 cm

b²=y*a =>b²=16*25 =>b²=400=>b=20 cm

a²=c²+b² =>25²=c²+20²=>625=c²+400 =>c²=225=>c=√225 =>c=15 cm