diketahui keliling belah ketupat 100 cm dan panjang salah satu diagonal nya48 cm, luas belah ketupat tersebut
Matematika
Gitasaleh5108
Pertanyaan
diketahui keliling belah ketupat 100 cm dan panjang salah satu diagonal nya48 cm, luas belah ketupat tersebut
2 Jawaban
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1. Jawaban ekaanissa
Sisi miring = kll ÷ 4 = 100 ÷ 4 = 25
1/2 d2 = √25^2 - √24 = √625 - √576 = √49 = 7
d2 = 7×2 = 14
Luas = 1/2 × d1 × d2
= 1/2 × 48 × 14
= 336 cm^2
^ artinya pangkat -
2. Jawaban Sutr1sn0
K = 4 × s
100 = 4 × s
s = 100/4
s = 25 cm
d1 = 48 cm
d2 = 2 × [akar (s^2 - (1/2×d1)^2)]
= 2 × [akar (25^2 - (1/2×48)^2)]
= 2 × [akar (25^2 - 24^2)]
= 2 × [akar (625 - 576)]
= 2 × [akar 49]
= 2 × 7
= 14 cm
L = 1/2 × d1 × d2
= 1/2 × 48 × 14
= 336 cm^2