三内角A:B:C=3:4:5,
A=45°,B=60°,C=75°
由角可知边的比a:b:c=2:√6:(√3+1)
a+b+c=3√2 + 2√3 +√6
可解得a=2√2,b=2√3,c=√6+√2
S=(a*c*sinB)/2=2√2*(√6+√2)*√3/4=3+√3
三内角A:B:C=3:4:5,
A=45°,B=60°,C=75°
由角可知边的比a:b:c=2:√6:(√3+1)
a+b+c=3√2 + 2√3 +√6
可解得a=2√2,b=2√3,c=√6+√2
S=(a*c*sinB)/2=2√2*(√6+√2)*√3/4=3+√3