Question

Lungimile laturilor unui triunghi sunt egale cu (radical 5- radical 3);(radical 5 + radical 3);4 . Aflati Aria

Answer 1

a=√5-√3
b=√5+√3
c=4
semiperimetrul=p=(√5-√3+√5+√3+4)/2=√5+2
S=√p(p-a)(p-b)(p-c)=
=√(√5+2)(√5+2-√5+√3)(√5+2-√5-√3)(√5+2-4)=
=√(√5+2)(2+√3)(2-√3)(√5-2)=
=√(5-4)(4-3)=√1=1