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Q.

If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then two triangles are congruent.


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a

True

b

False 

answer is A.

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Detailed Solution

Suppose, there are 2 right triangles such that ABC and DEF.
Question ImageIn ABC DEF,
Both of the right triangle’s hypotenuses are equal.
AC = DF    (equal hypotenuse)
Also,
AB = DE (equal sides of triangle other then hypotenuse)
Here,
ABC=DEF=90o            (right angle)
Now, from Side-angle-side rule of congruency of triangles,
ABCDEF So, two triangles are congruent with given condition.
Hence, given statement is true.
Option 1 is correct.
 
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