Question

The figure below shows two triangles EFG and KLM.
Which step can be used to prove that triangle EFG is also a right triangle?
Answer

Prove that a + b is greater than c in triangle EFG so c2 = a2 + b2.

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

Prove that the sum of the squares of a and c in triangle EFG is greater than square of b in triangle KLM.

Prove that the sum of the squares of a and b in triangle KLM is greater than square of c in triangle EFG.

Answer 1

i think it may be the first option but not sure

Answer 2

to prove that EFG is right you have to prove that
c^2 = a^2 + b^2

but since KLM is right => KL= a^2 +b^2

thus c must be equal to KL

the second choice
(Prove that KL = EF so in triangle KLM c2 = a2 + b2 which makes triangle EFG a right triangle)

Answer 3

ok that makes sense, thank-you =)

Answer 4

its my pleasure :)