### This rectangle is a square

Earlier this year, my nephew visited from overseas with his Maths holiday homework. He was on summer holidays between years 8 and 9. This is one of the questions I can translate:

Show that a rectangle ABCD, such that AB=√125 and BC=3√45 - 2√20 is a square.

You could post your answer in the comments field or try it with your students and post their answers instead.

Elias.

Technorati tags: Education Mathematics

Show that a rectangle ABCD, such that AB=√125 and BC=3√45 - 2√20 is a square.

You could post your answer in the comments field or try it with your students and post their answers instead.

Elias.

Technorati tags: Education Mathematics

## Comments

I'll post their results soon.

Proof 1

Proof 2

Proof 3

Proof 4

Elias.