triangleXYy in triangle ABC, AB = 2.2 cm, BC-1.5 cm and AC = 2.3 cm. I

1.	triangleXYy in triangle ABC, AB = 2.2 cm, BC-1.5 cm and AC = 2.3 cm. InXY-4.4 cm, YZ-3 cm and XZ-4.6 cm. Find the ratio AB : XY, BC: YZ,ACAre the lengths of corresponding sides of AABC and AXYZ are in proportion?Hint: Any two triangles are said to be in proportion, if their corresponding sides are in thesame ratio]
Answer» 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.

triangleXYy in triangle ABC, AB = 2.2 cm, BC-1.5 cm and AC = 2.3 cm. InXY-4.4 cm, YZ-3 cm and XZ-4.6 cm. Find the ratio AB : XY, BC: YZ,ACAre the lengths of corresponding sides of AABC and AXYZ are in proportion?Hint: Any two triangles are said to be in proportion, if their corresponding sides are in thesame ratio]

Answer»

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.