Răspuns:
Explicație pas cu pas:
Ducem inltimea AD _|_ BC
sinC = sin45 = AD/AC
√2/2 = AD/6√2, AD = 6√2*√2/2 , AD = 6
cosC = cos45 = CD/AC
√2/2 = CD/6√2, CD = 6√2*√2/2 , CD = 6
cosB = cos30 = DB/AB
√3/2 = DB/12, DB = 12*√3/2 = 6√3
BC = CD + DB = 6 + 6√3 = 6(1+√3)
Perim = 12+6√2 + 6(1+√3) = 12 +6(√2 +1+√3)
Aria = AD*BC/2 = 6*6(1+√3)/2 = 12(1+√3)