Question

Any two right triangles with hypotenuse 5 cm, are congruent. (State whether the statements are true. Explain with reason)

Answer 1

Hey there!

We know that, Two triangles are congruent by R. H.S Axiom that If The two triangles are right angled, and the hypotenuse and one side are equal to corresponding sides and hypotenuse.

Conditions for two triangles to be congruent by R. H. S Axiom.
1 ) Both are right angled triangles
2) Hypotenuse of two triangles are equal.
3) One side of the two triangles ( excluding hypotenuse ) should be equal.

So, Here in this question

" Any two right triangles with hypotenuse 5 cm are congruent "

As the Triangle are Right angled , It satisfies The first condition.

The hypotenuse of the both triangles is 5 cm.

So , The triangles satisfies second condition too

But There is no specific mentioning of one more side which should be equal to corresponding side.

Therefore, The triangle aren't congruent.

Hope helped!

Answer 2

Answer:

any two right triangles with hypotenuse 5 centimetre are congruent