Question

In triangle abc angle b 90 and ad is perpendicular to segment bc show that ac^2 =ab^2 +bc^2-2bc.Bd

Answer 1

ABC is a right triangle, right angled at C. Let BC=a, CA=b, AB=c and let p be length of perpendicular from C on AB. Prove that

(i) cp=ab

(ii) 1/p2=1/a2+1/b2