Question

Ex. : 4 ................​

Answer 1

Răspuns:

Explicație pas cu pas:

a. BD=2√3, BC=8√3, AD=?

DC=BC-BD

DC=8√3-2√3

DC=6√3

ΔABC m(∡A)=90°

AD⊥BC ⇒Th. inaltimii⇒AD=√BD·DC

AD=√2√3·6√3

AD=√12·3

AD=√36

AD=6 cm

b. AD=6cm, BD=4 cm, DC?

ΔABC m(∡A)=90°

AD⊥BC ⇒Th. inaltimii⇒AD²=BD·DC

6²=4·DC

36=4·DC⇒DC=36÷4

DC=9cm

c. AD=3√3, DC=3cm, BD?

ΔABC m(∡A)=90°

AD⊥BC ⇒Th. inaltimii⇒AD²=BD·DC

3√3²=BD·3

9·3=BD·3

27=BD·3⇒BD=27÷3

BD=9 cm