Question

In triangle ABC is right triangle with angle B=90 degree . P and Q are midpoints of AB and BC. then prove that: 
(i)   4 PC²=4 BC² + AB²
(ii) 4 AQ² = 4 AB² + BC²\
(iii) 4 PC² + 4 AQ² = 5 AC²

Answer 1

see the attachment..