Question

Fie triunghiul ABC cu masura unghiului A de 90 grade si AD perpendicular pe BC D apartine lui BC
1 Daca Ab =16 , BC = 20 calculati AC
2 Daca CD=9 , BD = 4 calculati Ad
3 Daca BD= 16 , Bc = 25 calculati AB
4 Daca Ab =8 , AC =15 calculati sin b si cos b
VA rog ajutatima

Answer 1

1)BC²=AB²+AC²
AC²=BC²-AC²
AC²=20²-16²=400-256=144
AC=√144
AC=12CM

2) AD²=CDXBD
AD²=9X4=36
AD=√36
AD=6cm

3)AC²=BCXDC
AC²=25X16=400
AC=√400
AC=20cm

4)BC²=AC²+AB²=15²+8²=225+64=289
BC=√289=17
BC=17cm
sinB=AC/BC=15/17
cosB=AB/BC=8/17