Question

Num losango de 5√3 m de lado, a diagonal maior e o dobro da menor.Calcule as medidas das diagonais

Answer 1

D=2d
L=5√3

Vamos calcular d:
(d/2)²+(D/2)²=(5√3)²
(d/2)²+(2d/2)²=25x3
(d/2)²+d²=75
d²/4+d²=75
d²+4d²=300
5d²=300
d²=300/5
d²=60
d=2√15 cm

D=2x2√15
D=4√15 cm

Resposta:
d=2√15 cm
D=4√15 cm