2 months ago you received an invitation to attend what was sure to be the party of the decade. 5 bands were performing, 3 different world class chefs were catering, and only a handful of people have been invited to attend.

When you arrive at the party, you hand your invitation to the security guard, and he gives you a sterling silver bracelet. The bracelet serves a dual purpose – it’s a beautiful gift and it allows the security officers to discern between invited guests and those who might have snuck in.

After receiving your bracelet, you walk onto the perfectly manicured lawn and pick up a glass of sparkling cider. The Chefs are set up in different booths and you start to walk over to see what they have to offer. Just as you reach the seafood booth, you hear a gunshot and hear people screaming.

The guests begin to gather around a man who’s been shot. Then the lead security guard comes over with a startling announcement. “Everybody stay where you are. Someone here shot this man – he was a guest. The gardener saw the perpetrator dressed in a track suit, but he saw the guest bracelet on their wrist.” He goes on to say that the perpetrator shed the track suit and must be mingling with the rest of the guests now.

Use Pythagorean Theorem to solve the clues and figure out WHO among you is the murderer!