Penjelasan dengan langkah-langkah:
Panjang AB :
AB² = 0A² + OB²
= 9² + 12²
= 81 + 144
= 225
AB = 15 cm
Panjang BC :
BC² = OC² + OB²
= 5² + 12²
= 25 + 144
= 169
BC = 13 cm
Karena layang-layang simetri pada sumbu AC, maka
CD = BC = 13 cm
DA = AB = 15 cm
Luas layang-layang :
L = ½ × diagonal 1 × diagonal 2
= ½ × AC × DB
= ½ × (9 + 5) × (12 + 12)
= ½ × 14 × 24
= 7 × 24
= 168 cm²
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Verified answer
Penjelasan dengan langkah-langkah:
Panjang AB :
AB² = 0A² + OB²
= 9² + 12²
= 81 + 144
= 225
AB = 15 cm
Panjang BC :
BC² = OC² + OB²
= 5² + 12²
= 25 + 144
= 169
BC = 13 cm
Karena layang-layang simetri pada sumbu AC, maka
CD = BC = 13 cm
DA = AB = 15 cm
Luas layang-layang :
L = ½ × diagonal 1 × diagonal 2
= ½ × AC × DB
= ½ × (9 + 5) × (12 + 12)
= ½ × 14 × 24
= 7 × 24
= 168 cm²