Triangles a and b are right angled. show that the two shorter sides in triangle a have the same length as the two shorter sides in triangle b

explain why the two triangles are congruent

When we have right triangles, we described its sides as one hypothenuse and two legs.

In this case, "shorter sides" refes to the legs of the right triangle, which form the right angle that defined the triangle.

On the other hand, there are several ways to demonstrate the congruence between two right triangles. Those ways are called postulates or theorems, which  are

All these theorems are they way to demonstrate the congruence between the given triangles.

In this case, those triangles are congruent by Leg-Leg theorem.

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