CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

ABC is an isosceles triangle right angled at C. Prove that AB2=2AC2

Open in App
Solution

Given that ΔABC is an isosceles triangle.

AC=CB...(i)

Applying Pythagoras theorem in ΔABC (i.e., right-angled at point C), we obtain,

AC2+BC2=AB2

AC2+AC2=AB2, [AC=BC]

2AC2=AB2 [From (i)]

Hence, proved.


flag
Suggest Corrections
thumbs-up
39
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Pythogoras Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon