Question

Pada layang layang ABCD, panjang diagonal AC=1 1/2 kali diagonal BD. Jika luas layang layang tersebut 108 cm^2, tentukan panjang diagonal AC!!!

plis yaa tolong di bantu.. prnya kumpul besokk :'(

Answer 1

Ac = 1 1/2 x BD = 3/2 BD
L = 1/2 x d1 x d2
108 = 1/2 x AC x BD
108 = 1/2 x 3/2 x BD x BD
108 = 3/4 x BD²
 BD² = 108 : 3/4
 BD² = 108 x 4/3
 BD² = 144
 BD = √144 = 12 Cm
AC = 3/2 x BD
AC = 3/2 x 12
AC = 18 cm