Question

In triunghiul ABC dr in A,AD⊥BC,D∈BC,AB=4cm,AC=3cm.
Sa se afle:
a)DC=?,AD=?,DC=?,BD=?.
b)Aria ABC=?,Perimetru ABC=?.
c)Sin B=?,cos B=?,tg B=?,ctg B=?

Va rog ajutatima

Answer 1

Calcule in tri. dr. .................................

Answer 2

a. t. lui Pitagora BC²=AB²+AC², BC²=16+3=25, BC=5 t catetei pentru AC AC²=DCxBC, DC=AC²/BC=9/5 BD=BC-DC=5-9/5=16/5 t inaltimii AD²=BDxDC=16/5x9/5, AD=12/5 b. A=ABxAC/2=4x3/2=6, P=AB+AC+BC==4+3+5=12 c. sinB=AC/BC=3/5, cosB=AB/BC=4/5, tgB=AC/AB=3/4, ctgB=AB/AC=4/3