Q10 of 48 Page 101

In triangle ABC, AB = 2.2 cm, BC = 1.5 cm and AC = 2.3 cm. In triangle XYZ, XY = 4.4 cm, YZ = 3 cm and XZ = 4.6 cm. Find the ratio AB:XY, BC:YZ, AC:XZ. Are the lengths of corresponding sides of ΔABC and ΔXYZ are in proportion?

[Hint: Any two triangles are said to be in proportion, if their corresponding sides are in the same ratio]

Given that,

In triangle ABC,


AB = 2.2 cm


BC = 1.5 cm


AC = 2.3 cm


In triangle XYZ,


XY = 4.4 cm


YZ = 3 cm


XZ = 4.6 cm


To Find the ratio AB:XY,





∴ The ratio of AB:XY =


To Find the ratio BC:YZ,





∴ The ratio of BC:YZ =


To Find the ratio AC:XZ,





∴ The ratio of AC:XZ =


∴ The ratios of AB:XY, BC:YZ, AC:XZ are , ,


Here, the lengths of corresponding sides of ΔABC and ΔXYZ are in proportion because their corresponding sides are in the same ratio .


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