Răspuns
Explicație pas cu pas:
a) In ΔABC (∡B=90°) aplicam T. inaltimii:
=> BD²=AD·DC => AD=BD²/DC => AD=8²/(3·5+1)/3=64/(16/3)=64/1·3/16=12
=>AD=12cm.
b) Aplicam aceeasi teorema in Δ ABC si obtinem:
CD²=AD·DB => AD=CD²/DB => AD=14²/24,5=2²·7²:(245/10)=2²·7²·2/49=8
=> AD=8cm.
c) Aplicam aceeasi teorema in Δ ABC si obtinem:
BD²=AD·DC => AD=BD²/DC => AD=10²/8=100/8=25/2=12,5
=> AD=12,5cm.
