Question

ΔABC dreptunghic.
m(∡A)= 90°
AD⊥BC
D ∈ BC

a)AB=20cm
BC=25cm
AD=12cm
Calculati Aria ABC si AC

b)AB=2,4m
BC=30dm
AC-18dm
Calculati AD

Answer 1

a)ARIA =B*H/2=25*12/2=150, APLICAM TH PITAGORA => AC PATRAT=BC PATRAT-AB PATRAT=625-400=225=>AC=15;;;b) aplicam th cateteai=> AB PATRAT=BD*BC=>5,76=BD*3=>BD=1,92=> CD=1,08. APLICAMTH INALTIMII=> AD PATRTA=BD*CD=>AD PATRTA=2,0736=>AD=1,44

Answer 2

$a)\ \it{\mathcal{A} =\dfrac{BC\cdot AD}{2};\ \ \ \ \it{AD=\dfrac{AB\cdot AC}{BC}}$