ABC is a right angled triangle at C . Prove tha  A B squared=2 A C squared.

Asked by amrikj1947 | 8th Dec, 2015, 08:26: PM

Expert Answer:

 
increment ABC space space is space straight a space right space angled space triangle space at space straight C By space using space Pythagoras space Theorem space we space get comma AB squared equals AC squared plus CB squared.... left parenthesis 1 right parenthesis  If space angle straight A space equals space angle straight B space then increment ABC space space is space an space isosceles space right space angled space triangle space at space straight C. So space the space sides space opposite space to space congruent space triangle space are space same. therefore AC space equals space CB..... left parenthesis 2 right parenthesis  From space equation space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis space we space get AB squared equals AC squared plus AC squared AB squared equals 2 AC squared

Answered by Vijaykumar Wani | 9th Dec, 2015, 10:55: AM