Question

Using the converse of Pythagoras theorem solve:in triangle ABC AB=6root3cm BC=6cm and AC =12cm find angle B

Answer 1

AB= 6 root 3 cm 
AC = 12cm 
BC = 6cm 
AC square = 12 square = 144 
BC square =  6 square = 36 
AB = 6 root 3 square = 36x3= 108
 BC square + AB square 
 36              +   108
= 144
Therefore , by converse of pythagoras theorem 
 angle B = 90 degree .