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

tips?

Answer 2

k

Answer 3

tips?

Answer 4

because it is the same as angle KLM.therefor,it is the reflection of the angle KLM

Answer 5

ehhh

Answer 6

can I have an understand explanation, please?

Answer 7

Zepp!!!!!!!!!!!!!!!

Answer 8

wat up?

Answer 9

tips?

Answer 10

you there?

Answer 11

k

Answer 12

I need a simple explanation that I can understand in order to do this problem

Answer 13

Consider the statements

First, ''prove that the sum of a and c is greater than b.'' and the second, ''Prove that the sum of a and b is greater than c.''

By proving the sum of 2 sides being greater than the other one, it's NOT enough to prove it's a right angle triangle because it can still be any kind of triangle.
(FYI if a+b>c , b+c>a and a+c>b , the three sides can form a triangle)

However, you can prove it is a right angle triangle by converse of Pyth. Thm.
If \(a^2+b^2 = c^2\), then angle C (the angle opposite to c) is the right angle.

Got it so far?

Answer 14

k

Answer 15

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

Answer 16

So thats the answer

Answer 17

For the third one, ''Prove that triangles are congruent by SSS property and hence angle EGF is equal to angle KML.''

For congruent triangles, the corresponding angles are equal. Since it is given that angle KML is a right angle, so, angle EGF is also a right angle
Yes it's the answer.

Answer 18

k

Answer 19

let me post another problem

Answer 20

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

AA postulate is about 2 angles being equal, not about the ratio of sides. So, it's a wrong reason. Moreover, even though the ratio of sides are less than 1, you can also prove they are similar.. (for 3 pairs of sides having the same ratio / 2 pairs of sides having the same ratio with an included angle.)