1.
 = 90° => ABC = dreptunghic
[tex]=> {BC}^{2} = {AB}^{2} + {AC}^{2} [/tex]
[tex] {BC}^{2} = {15}^{2} + {20}^{2} = 225 + 400 = 625[/tex]
[tex]BC = \sqrt{625} = 25cm[/tex]
[tex]P_{ABC} = 15 + 20 + 25 = 60cm[/tex]
AS - înălțime
[tex] = > AS = \frac{AB \times AC}{BC} = \frac{15 \times 20}{25} = \frac{300}{25} = 12cm[/tex]
[tex]AM = \frac{BC}{2} = \frac{25}{2} = 12.5cm[/tex]
2.
 = 90° => ABC = dreptunghic
[tex]=> {BC}^{2} = {AB}^{2} + {AC}^{2} [/tex]
[tex]{AB}^{2} = {BC}^{2} - {AC}^{2}[/tex]
[tex] = {30}^{2} - {18}^{2} = 900 - 324 = 576[/tex]
[tex]AB = \sqrt{576} = 24cm[/tex]
[tex]P_{ABC} = 24 + 18 + 30 = 72cm[/tex]
AS - înălțime
[tex] = > AS = \frac{AB \times AC}{BC} = \frac{24 \times 18}{30} = \frac{432}{30} = 14.4cm[/tex]
[tex]AM = \frac{BC}{2} = \frac{30}{2} = 15cm[/tex]
