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SSS Similarity

ABC is simila...

Question

$△ A B C$ is similar to $△ X Y Z$ by $S S S$ similarity. If in $△ A B C$ , $A B = 12, B C = 8, A C = 6$
and in $△ X Y Z,$ $X Y = 6, Y Z = 4$ . Find the value of $X Z$

2

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6

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12

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3

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Solution

The correct option is D $3$
According to SSS rule,
$\frac{A B}{X Y} = \frac{B C}{Y Z} = \frac{C A}{Z X} \Rightarrow \frac{12}{6} = \frac{8}{4} = \frac{6}{X Z} \Rightarrow X Z = \frac{6}{2} = 3$

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Similar questions

△ A B C

△ X Y Z

△ A B C \leftrightarrow △ X Y Z

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A C = 3

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In $△$ ABC and $△$ XYZ, if $∠$ ABC = $∠ X Y Z = 90^{\circ}$ , AC = XZ and BC = YZ, then by which postulate is $△ A B C ≅ △ X Y Z$ ?

Δ

Δ

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