Question

Fie ABC triunghi dreptunghic cu m(∡A)=90° ,AD⊥BC
a) daca AD=10 si BD=5,DC=?,BC=?
b)daca BC=7 si DC=4,AD=?,BD=?

Answer 1

AD-inaltimea triunghiului
$a)AD^2=BD*DC \\ 100=5DC \\ DC=20cm \\ BC=BD+DC=5+20=25cm \\ b)BD=BC-DC=7-4=3cm \\ AD^2=BD*DC \\ AD^2=3*4=12 \\ AD=2 \sqrt{3}cm$