State and prove the converse of the pythagorean theorem using a two-column proof

Step-by-step explanation:

I'm from the UK and I'm not familiar with a two column proof, but the following proves the converse.

Draw 2 right angled triangles with the 2 legs = a and b in each case and the longest side = c in one triangle and f in the other.

By Pythagoras a^2 + b^2 = c^2   (Given)

Also in the other triangle a^2 + b^2 = f^2,  if it is right-angled.

Therefore a^2 = f^2 and a = f.

So the 2 triangles are congruent by SSS.

So m < C  in one triangle = m < F  ( the angles opposite the hypotenuse)

Therefore the second triangle is right angled .

This completes the proof.

step-by-step explanation:

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw