Two right-angled triangular blocks, ABC and DEF, have ∠B = ∠E = 90°. If the lengths of the hypotenuses AC and DF are equal, and the sides AB and DE are equal, are the triangles congruent? If so, by what rule?

Correct option is C

Given :

Two right-angled triangles $$\triangle$$​ABC and $$\triangle$$​ DEF
​$$\angle B = \angle E = 90^\circ$$​​
Hypotenuse AC = DF
One side AB = DE

Solution :

Both triangles are right-angled

Their hypotenuses are equal

One corresponding side is equal

All conditions of the RHS congruence rule are satisfied.

Answer : Yes, the triangles are congruent by the RHS rule
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