0 votes
in Mathematics by (128k points)

Please log in or register to answer this question.

1 Answer

+1 vote
by (519 points)

We are given

AC=BC(i), and

AB^2=2AC^2 (ii)

We can rewrite equation (ii) as

AB^2=AC^2 + AC^2

AB^2=AC^2 +BC^2  (iii)      (Given AC=BC so also AC^2=BC^2)

We know that the equation matches with the  Pythagoras  equation 

So triangle ABC is a isosceles right trianglewith AB as hypotenus and right angled at C that is 

angle ACB = 900

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.