Question

Selembar kertas berbentuk layang-layang luasnya sama dengan 720cm. Perbandingan diagonal-diagonalnya adalah 2:5 . Hitunglah panjang masing masing diagonal

Answer 1

L = 1/2 . diagonal 1.diagonal 2
720 = 1/2 . 2x.5x
720 = 5x²
x² = 720/5
x² = 144
x  = √144
x  = 12

diagonal 1 = 2x = 2.12 = 24 cm
diagonal 2 = 5x = 5.12 = 60 cm

Answer 2

Luas = 1/2 x D1 x D2
720   = 1/2 x 2a x 5a
720   = 5a²
a²      = 144
a       = 12

D1 = 2a = 2(12) = 24 cm
D2 = 5a = 5(12) = 60 cm