Question

Can anyone help me?

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 Square Root Property of Equality
5. Triangle NRM is congruent to triangle EFD SSS Postulate
6. Angle NRM is a right angle ?
7. Triangle NRM is a

Answer 1

Triangle Proportionality Theorem

All sides of both the triangles are equal

Corresponding parts of congruent triangles are congruent

Triangle EFD has two angles which measure less than 90°