Question:The sides of the triangle ABC are 3 cm, 3 cm and 5 cm. The sides of the triangle XYZ are 9 cm, 12 cm and 15 cm. If the area of the triangle ABC is 6 `cm^2` , find the area of the triangle XYZ is 54 `cm^2` .
Answer Each side of the triangle XYZ is three times the corresponding side of the triangle ABC. The area of XYZ is therefore nine times as great as the area of ABC. Therefore the area of the triangle XYZ is 54 `cm^2` .
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The sides of the triangle ABC are 3 cm, 3 cm and 5 cm. The sides of the triangle XYZ are 9 cm, 12 cm and 15 cm. If the area of the triangle ABC is 6 `cm^2` , find the area of the triangle XYZ is 54 `cm^2` .