Question

Fie un triunghi ABC cu m( unghiului A) = 90 de grade si AD perpedicular pe BC, D∈BC. cOMPLETATI: AB=24 cm si BC=30 SE CERE: AC? AD? BD? DC? Va rog rezolvarea intreaga OFER COROANA

Answer 1

In triunghiul ABC , m(<A)=90 grade
AC²=BC²-AB²⇒AC²=30²-24²⇒AC²=900-576⇒AC=√324⇒AC=18 cm 
AB²=BCxBD ⇒ 24²=30xBD⇒576=30x BD ⇒ BD = 576/30⇒BD=96/5
AC²=BCxDC⇒18²=30xDC⇒324=30xDC⇒DC=324/30⇒DC= 54/5
AD²=BDxDC⇒AD²=96/5x54/5⇒AD=√5184/25 ⇒ AD=72/5