Answer:
AC^2=AB^2+BC^2
Step-by-step explanation:
Given information: In triangle ABC, ∠B=90°.
To prove: AC^2=AB^2+BC^2
Proof:
According to the Pythagoras theorem, in a right angled triangle
hypotenuse^2=perpendicular^2+base^2
Since ∠B=90°, it means ABC is right angled triangle, AC is hypotenuse, AB and BC are two legs.
Using Pythagoras theorem we get
AC^2=AB^2+BC^2
Hence proved.
