Question

ABCD=trapez , AB//CD, AB>CD, AB=50cm,CD=25cm,AC=45cm BD=60cm . AC intersectat BC ={P}

a)m(<AOB)=?
b)h trapez=?
c)d(P;AB)=?​

Answer 1

Răspuns:

Răspuns:

OA = 30 cm

OB = 35 cm

OC = 12 cm

OD = 14 cm

Explicație pas cu pas:

AB || CD => ΔAOB ≈ ΔCOD =>

=> OD/OB = OC/OA = CD/AB = 24/60 = 2/5

OD/OD+OB = OC/OC+OA = 2/2+5

OD/BD = OC/AC = 2/7

OD/BD = 2/7

OD/49 = 2/7 => OD = 2×49/7 = 14 cm

OB = BD - OD = 49 cm - 14 cm = 35 cm

OC/AC = 2/7

OC/42 = 2/7 => OC = 2×42/7 = 12 cm

OA = AC - OC = 42 cm - 12 cm = 30 cm