Question

Which step can be used to prove that triangle EFG is also a right triangle?

Prove that the sum of a and c is greater than b.

Prove that the sum of a and b is greater than c.

Prove that triangles are congruent by SSS property and hence angle EGF is equal to angle KML.

Prove that the ratio of EF and KL is greater than 1 and hence the triangles are similar by AA postulate.

Answer 1

Option 3rd is correct.

Explanation:

In right angle triangle:

Pythagoras theorem follows which is:

`Hypotenuse^2=side^2+side^2`

Here, c= hypotenuse b is one side and a is the other side.

Therefore, according to Pythagoras theorem Option 1 and 2 are discarded.

Option 3rd is correct because all the three sides are equal

Hence, triangles are congruent by SSS property and

Hence, Angles EGF and KML are equal

Therefore, Option 3rd is correct.

Answer 2

"Prove that triangles are congruent by SSS property and hence angle EGF is equal to angle KML" is the step among the choices given that can be used to prove that triangle EFG is also a right triangle. The correct option among all the options that are given in the question is the third option. I hope it helps you.