Question

triunghiul abc, unghiul a e de 60 grade, ab=12, ac=15. calculati aria, latura bc si inaltimile.

Answer 1

A=AB×AC×sin 60°/2=(12×15×√3/2)/2=180√3/4=45√3
BC²=AB²+AC²-2(AB×AC×cos 60°)=12²+15²-2(12×15×1/2)=144+225-180=189
BC=√189=3√21
notam inaltimile AM,BN si CP
A=B×h/2   ⇒  h=2A/B
AM=2×45√3/3√21=30/√7=30√7/7
BN=2×45√3/15=6√3
CP=2×45√3/12=15√3/2