Oblicz pola trójkątów ABS i DCS
Odp jest taka:
Pabs=45
Pdcs=5
z podobieństwa trójkątów:
| 15 | ||
k= | =3 | |
| 5 |
| 8−a | |
{=3 | |
| a |
| 1 | ||
PABS=6*15* | =... | |
| 2 |
| 1 | ||
PDCS=5*2* | =... | |
| 2 |
| 5+15 | ||
P(tr)= | *8= 80 | |
| 2 |
| P1 | ||
P3= P4 i | = k2 , k skala podobieństwa trójkątów ABS i DCS | |
| P2 |
| 15 | ||
k= | =3 | |
| 5 |
| P1 | ||
to: | = 9 ⇒ P1= 9*P2 | |
| P2 |
| 8*15 | ||
to: P(ΔABD)= | = 60 = P3+P2= 12P2 | |
| 2 |