Adam memiliki layang-layang seperti gambar disamping dengan luas 168 cm2.Jika OC=15 cm dan BD=16 cm,maka tentukan keliling dari layang-layang tersebut!
dimasrizqi11
Mencari diagonal 2 L = d1.d2/2 168 = 16.d2/2 168 = 8.d2 d2 = 168/8 d2 = 21 cm
jarak AO = 21 - OC = 21-15 = 6 cm
AD = AB = x x² = OB²+AO² x² = 8²+6² x² = 64+36 x² = 100 x = √100 x = 10 cm
BC = DC = y y² = OC² + OB² y² = 15² + 8² y² = 225+64 y² = 289 y = √289 y = 17 cm
L = d1.d2/2
168 = 16.d2/2
168 = 8.d2
d2 = 168/8
d2 = 21 cm
jarak AO = 21 - OC
= 21-15
= 6 cm
AD = AB = x
x² = OB²+AO²
x² = 8²+6²
x² = 64+36
x² = 100
x = √100
x = 10 cm
BC = DC = y
y² = OC² + OB²
y² = 15² + 8²
y² = 225+64
y² = 289
y = √289
y = 17 cm
K = AB + BC +CD+DA
= 10+17+17+10
= 54 cm