For what value of $x$ will $△ A B C ≅ △ X Y Z$ ?

10

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Solution

The correct option is A 10
In $△ A B C$ and $△ X Y Z$ ,
Given, BC = YZ = 6 cm - (side)
$∠ A B C = ∠ X Y Z$ - (Right angle)
For $△ A B C$ to be congruent to $△ X Y Z$ , AC should be equal to XZ - (hypotenuse)
Then by RHS postulate, $△ A B C ≅ △ X Y Z$ .

Therefore, the hypotenuse of both sides are to be equal.
$∴ x$ = 10 cm

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For what value of x will △ABC≅△XYZ? 10

The correct option is A 10In △ABC and △XYZ, Given, BC = YZ = 6 cm - (side) ∠ABC=∠XYZ - (Right angle) For △ABC to be congruent to △XYZ , AC should be equal to XZ - (hypotenuse) Then by RHS postulate, △ABC≅△XYZ. Therefore, the hypotenuse of both sides are to be equal. ∴x = 10 cm

For what value of $x$ will $△ A B C ≅ △ X Y Z$ ?

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