Question

Triunghi dreptunghic ABC m (unghi A) =90° AD_|_BC D €(BC) AB =16cm BC=20cm afla BD DC AC AD Aabc

Answer 1

Conf. T lui Pitagora,  din tr BAC - dr, BC^2= BA^2 +AC^2

AC^2=  BC^2 - BA^2

AC^2= 400-256

AC^2= 144

AC=12cm

Conf. T catetei, AC^2=CD*CB

CD=AC^2 / CB

CD=144/20CD

CD=7,2cm

Conf. T catetei, AB^2= BD*BC

BD=AB^2/BC

BD=256/20

BD=12,8 cm

Conf. T inaltimii, AD^2= BD*CD

AD^2= 12,8*7,2

AD^2=92,16

AD=9,6 cm

Aabc = AB*AC/2

Aabc = 16*12/2

Aabc = 96cm^2