Question

The figure below shows two triangles EFG and KLM.

Answer 1

Answer:

Option 2nd is correct.

Step-by-step explanation:

In right angle triangle:

Pythagoras theorem follows which is:

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

Therefore, according to Pythagoras theorem Option 1,3 and 4 are discarded.

Option 2nd is correct because KL=EF and triangle KLM and EFG follows Pythagoras theorem which makes them a right angle triangle.

Answer 2

Answer

Prove that KL = EF so in triangle KLM c2 = a2 + b2 which makes triangle EFG a right triangle.

Explanation
For a right triangle, the sum of the legs squared is equal to the hypotenuse squared. 
So, in the triangle EFG, a²+b²=c².
To make EFG a right triangle at G, we can compared ΔEFG and ΔKLM. Line EF=KL.
The correct answer from the choices is; "Prove that KL = EF so in triangle KLM c2 = a2 + b2 which makes triangle EFG a right triangle".