Forum

ABC is an isosceles...
 
Notifications
Clear all

ABC is an isosceles triangle with AC = BC. If AB^2 = 2AC^2, prove that ABC is a right triangle.

1 Posts
2 Users
0 Likes
597 Views
0
Topic starter

ABC is an isosceles triangle with AC = BC. If AB2 = 2AC2, prove that ABC is a right triangle.

1 Answer
0

Given, ΔABC is an isosceles triangle having AC = BC and AB2 = 2AC2

In ΔACB,

AC = BC

AB2 = 2AC2

AB2 = AC+ AC2

= AC2 + BC[Since, AC = BC]

Hence, by Pythagoras theorem ΔABC is right angle triangle.

This post was modified 4 years ago by Raavi Tiwari
Share:

How Can We Help?