Three students are standing in a park with sign boardsTheir positions are marked by points A(0,7,10),B(-1,6,6) and C(-4,9,6) The - Maths - Introduction to Three Dimensional Geometry

Question

Three students are standing in a park with sign boardsTheir
positions are marked by points A(0,7,10),B(-1,6,6) and C(-4,9,6)
The three are holding a ribbon together Does the ribbon form the
sides of a right angled triangle?

Aarushi Mishra · Accepted Answer

Dear studentA=0,7,10B=-1,6,6C=-4,9,6AB=0+12+7-62+10-62=1+1+16=18BC=-1+42+6-92+6-62=9+9+0=18AC=0+42+7-92+10-62=16+4+16=36=6AB+BC=218>ACAB+AC=6+18>BCAC+BC=6+18>ABNote182+182=62AC2=AB2+BC2Thus ∆ABC is right angled at B

Regards

Three students are standing in a park with sign boardsTheir positions are marked by points A(0,7,10),B(-1,6,6) and C(-4,9,6). The three are holding a ribbon together. Does the ribbon form the sides of a right angled triangle?