Question

ABC ia an isosceles triangle and zB = 90°, then show that
AC2 = 2AB2​

Answer 1

Answer:

Step-by-step explanation:

ABC is a right angle triangle.

Given that AC

2

=2AB

2

AC

2

=AB

2

+AB

2

.....(Since it is isosceles AB=BC)

AC

2

=AB

2

+BC

2

The traingle is satisfying the pythagoras theorem.

Therefore, the given triangle is right-angle triangle.

Answer 2

Answer:

ABC is a right angle triangle.

Given that AC

2

=2AB

2

AC

2

=AB

2

+AB

2

.....(Since it is isosceles AB=BC)

AC

2

=AB

2

+BC

2

The traingle is satisfying the pythagoras theorem.

Therefore, the given triangle is right-angle triangle.

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