MATHEMATICS · Subjective · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
In △ABC right-angled at B, the side lengths (in cm) are:
AB=x+3,BC=2x−1,AC=13.
(i) Form an algebraic equation in x using the information given.
(ii) Solve the equation and write the possible value(s) of x.
(iii) For the valid value of x, find the exact lengths of all three sides.
(iv) Calculate the perimeter of △ABC.