Question

in ∆ABC if AB²-A2+CB² state with
resason ohether ∆abc is
right angled traigels or not
​

Answer 1

Given:

$\textsf{In triangle ABC,}$

$\mathsf{AB^2=AC^2+BC^2}$

$\underline{\textsf{To find:}}$

$\textsf{Whether triangle ABC is right angled or not}$

$\underline{\textsf{Solution:}}$

$\underline{\textsf{Converse of Pythagoras theorem:}}$

$\textsf{If square of one side of a triangle is equal to sum of the}$

$\textsf{squares of the other two sides, then the angle contained}$

$\textsf{by the two sides is right angle.}$

$\textsf{Consider,}$

$\mathsf{AB^2=AC^2+BC^2}$

$\textsf{According to converse of Pythagoras theorem,}$

$\mathsf{{\triangle}ABC}\;\textsf{is right angled}$