The figure below shows triangle NRM with r2 = m2 + n2.

Triangle NRM has legs m and n, and r is the length of its longest side.

Ben constructed a right triangle EFD with legs m and n, as shown below.

Triangle EFD has legs m and n and hypotenuse f.

He made the following table to prove that triangle NRM is a right triangle.

Statement

Reason
1. r2 = m2 + n2

Given
2. f2 = m2 + n2

Pythagorean Theorem
3. f2 = r2

Substitution
4. f = r

?
5. Triangle NRM is congruent to triangle EFD

SSS Postulate
6. Angle NRM is a rig

Question

The figure below shows triangle NRM with r2 = m2 + n2.
  
Triangle NRM has legs m and n, and r is the length of its longest side.
 
Ben constructed a right triangle EFD with legs m and n, as shown below.
 
Triangle EFD has legs m and n and hypotenuse f.
 
He made the following table to prove that triangle NRM is a right triangle.
 
Statement
	
Reason
1.       r2 = m2 + n2
	
Given
2.       f2 = m2 + n2
	
Pythagorean Theorem
3.       f2 = r2
	
Substitution
4.       f = r
	
?
5.       Triangle NRM is congruent to triangle EFD
	
SSS Postulate
6.       Angle NRM is a rig

anonymous · Answer

Square root property of equality

anonymous · Answer

thnx