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Question

Which of the following statements are true(T) which are false (F).

(ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

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Solution

Let PQR and ABC are two right angled triangle such that PR = AC and QR = BC



In PQR and ABC,

PR = AC
QR = BC
Q=B

PQRABC (by RHS congruency criterion)

Hence, the given statement is true.

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