ABC - XYZ and the ratio of the corresponding sides of - XYZ and - ABC is 2- 1- Find the measure of sides XY- YZ and ZX-A- 3 cm - 4 cm and 5 cmB- 12 cm - 16 cm and 20 cmC- 12 cm - 5 cm and 13 cmD- 12 cm - 26 cm and 10 cm

The correct option is B 12 cm, 16 cm and 20 cmGiven: ABC∼ΔXYZ nbsp; nbsp; nbsp; nbsp; nbsp; XY/AB=YZ/BC=XZ/AC=2 ⇒XY/6=YZ/8=XZ/10=2 ⇒ XY = 12 ...

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Standard X

Mathematics

Construction of a Similar Triangle - When Vertices Are Distinct

ABC ∼Δ XYZ an...

Question

$△ ABC \sim Δ XYZ$ and the ratio of the corresponding sides of $Δ XYZ$ and $Δ ABC$ is 2 : 1. Find the measure of sides XY, YZ and ZX.

3 cm, 4 cm and 5 cm

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12 cm, 16 cm and 20 cm

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12 cm, 5 cm and 13 cm

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12 cm, 26 cm and 10 cm

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Solution

The correct option is B 12 cm, 16 cm and 20 cm
Given: $△ ABC \sim Δ XYZ$

$\frac{X Y}{A B} = \frac{Y Z}{B C} = \frac{X Z}{A C} = 2$

$\Rightarrow \frac{X Y}{6} = \frac{Y Z}{8} = \frac{X Z}{10} = 2$

$\Rightarrow$ XY = 12 cm, YZ = 16 cm and
XZ = 20 cm.

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△ABC∼ΔXYZ and the ratio of the corresponding sides of ΔXYZ and ΔABC is 2 : 1. Find the measure of sides XY, YZ and ZX.

The correct option is B 12 cm, 16 cm and 20 cmGiven: △ABC∼ΔXYZ XYAB=YZBC=XZAC=2 ⇒XY6=YZ8=XZ10=2 ⇒ XY = 12 cm, YZ = 16 cm and XZ = 20 cm.

$△ ABC \sim Δ XYZ$ and the ratio of the corresponding sides of $Δ XYZ$ and $Δ ABC$ is 2 : 1. Find the measure of sides XY, YZ and ZX.

The correct option is B 12 cm, 16 cm and 20 cm
Given: $△ ABC \sim Δ XYZ$

$\frac{X Y}{A B} = \frac{Y Z}{B C} = \frac{X Z}{A C} = 2$

$\Rightarrow \frac{X Y}{6} = \frac{Y Z}{8} = \frac{X Z}{10} = 2$

$\Rightarrow$ XY = 12 cm, YZ = 16 cm and
XZ = 20 cm.