Question

Va rog e urgent !!!!!!!

Answer 1

a)BC²=AB²+AC²=12²+16²=144+256=400
BC=20
AB²=BC·BD
144=20·BD
BD=144/20=36/5
CD=BC-BD=20-36/5=64/5
AD²=BD·CD=36/5·64/5
AD=48/5

b)BD²=AB²-AD²=15²-12²=225-144=81
BD=9
AD²=BD·CD
12²=9·CD
CD=144/9=16
BC=CD+BD=9+16=25
AC²=BC²-AB²=625-225=400
AC=20

c)AC²=BC²-AB²=900-324=576
AC=24
AB²=BC·BD
225=30·BD
BD=225/30=15/2
CD=BC-BD=30-15/2=45/2
AD²=BD·CD=15/2·45/2=675/4
AD=15√3/2

d)AD²=BD·CD=12·27=324
AD=18
BC=DC+BD=12+27=39
AB²=AD²+DB²=324+144=468
AB=6√13
AC²=AD²+CD²=324+729=1053
AC=√1053=9√13