Question

1.pada layang layang ABCD ,panjang diagonal AC=1,5 kali diagonal BD.jika Luas layang layang tersebut 108 cm2,tentukan panjang diagonal AC.

Answer 1

D1 (AC) = 1,5 x BD = 15/10 x BD
D2 (BD) = BD

Luas = 1/2 x D1 x D2
108   = 1/2 x 15/10 x BD x BD
108   = 15/20 x BD²
BD²   = 108 : 15/20
BD²   = 108 x 20/15
BD²   = 144
BD    = √144
BD    = 12

Maka;
AC = 1,5 x BD
AC = 15/10 x 12
AC = 18 cm