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 $△$ ABC and $△$ XYZ are in proportion?

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Solution

AB/XY = 2.2/4.4 = 1/2

BC/YZ = 1.5/3.0 = 1/2

AC/XZ = 2.3/4.6 = 1/2

therefore, 1/2 = AB/XY = BC/YZ = AC/XZ

Therefore, their corresponding sides are in same ratio.

Therefore two triangles are similar and proportional.

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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 △ABC and △XYZ are in proportion?

AB/XY = 2.2/4.4 = 1/2BC/YZ = 1.5/3.0 = 1/2AC/XZ = 2.3/4.6 = 1/2therefore, 1/2 = AB/XY = BC/YZ = AC/XZTherefore, their corresponding sides are in same ratio.Therefore two triangles are similar and proportional.

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 $△$ ABC and $△$ XYZ are in proportion?

AB/XY = 2.2/4.4 = 1/2

BC/YZ = 1.5/3.0 = 1/2

AC/XZ = 2.3/4.6 = 1/2

therefore, 1/2 = AB/XY = BC/YZ = AC/XZ

Therefore, their corresponding sides are in same ratio.

Therefore two triangles are similar and proportional.