Question

If two sides of one triangle are congruent to two sides of another triangle,but the third side of the first triangle is greater than the third side of the second, then

Answer 1

Answer:

They will be equal as for congruent triangles

their corresponding part or angle must be equal

Answer 2

If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is greater than the third side of the second, then then the included angle of the first triangle is larger than the included angle of the second.

This statement is called the Hinge Theorem. It's also known as the "Alligator Theorem" since the sides can be compared to an alligator's (fixed length) jaws: the wider it opens its mouth, the larger the prey it can fit.

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