Question

Require good & detailed answers . In an Isosceles triangle , AC = BC, if AB² = 2AC² What is the measure of angle C.​

Answer 1

Answer:

The value of angle C is 90°

Hope it's helpfull

Answer 2

So, It's given that

AC = BC

and also ,

AB² = 2AC²

From this,

You can write

AB² = AC² + AC²

This looks like Pythagoras theorem. But yeah, Comparison of just two sides won't make it complete. That's why We are given AC = BC,

Now our equation looks,

AB² = AC² + BC²

This is now looking like Pythagoras equation ( As it involves three sides of the given triangle) which is Hypotenuse² = side² + side²

So from the above relationship,

You can say AB is the hypotenuse.

Since, AB is the hypotenuse, C is right angled.

Simple, So The angle C measures 90°