Q. 104.2( 29 Votes )

# 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]

Answer :

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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