Prove that in a right-angled triangle, the square of the length of hypotenuse is equal to the sum of the squares of the lengths of the other two sides. (Pythagoras’ theorem).
Grade 9 notes maths kpk chapter 15
• prove that if the square of one side of a triangle is equal to the sum
of the squares of the other two sides, then the triangle is a right
angled triangle (converse to Pythagoras’ theorem).
Introduction
Pythagoras, a Greek philosopher and mathematician
discovered the simple but important relationship between the sides
of a right-angled triangle. He formulated this relationship in the form
of a theorem called Pythagoras’ Theorem after his name. There are
various methods of proving this theorem. We shall prove it by using
similar triangles. We shall state and prove its converse also and then apply them to solve different problems.
Chapter no 15 – Pythagoras Theorem Mathematics Grade IX Notes for all kpk Boards, Dera Ismail Khan Division, Swat District, Malakand District, Upper Dir District, Lower Dir District, Bajaur District, Kohat Division, Abbottabad, Mansehra District, Swabi District, Nowshera District, Haripur District, Upper Kohistan District, Lower Kohistan District, Torghar District, Battagram, Bannu, Dera Ismail Khan, Kohat, Malakand, District Mardan, and Peshawar Boards.
