Răspuns :

Răspuns:

Explicație pas cu pas:

3) sin30 = 1/2, cos60 = 1/2,  tg45 = 1, sin60 =√3/2

a) a = 5/6 :1/2 = 5/6*2 = 10/6 = 5/3

b) b = 1/2(1-1/10) = 1/2*9/10 = 9/20

a*b = 5/3 *9/10 = 3/4 = (√3/2)^2 = (sin60)^2

4a)  AT^2 = BT*CT = 4*16 =64 = 8^2  (t. inaltimii)

AT = 8

b) AC = √(4^2+8^2) = √(80) = √(16*5) = 4√5

AB = √(4^2 + 16^2) = √(272) = √(16*17) = 4√17

BC = 4+16 = 20

Perim = 4√5 + 4√17 +20 > 4*2 + 4*4 +20 = 44