State Pythagoras' Theorem.

State and prove the Pythagoras theorem.

Without using the Pythagoras theorem, show that the points (4, 4) , (3, 5) and (1, 1) are the vertices of a right angled triangle.

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Using Pythagoras theorem determine the length of A D in terms of b and c shown in Figure.

Without using Pythagoras theorem, show that the points A(2,1) , B(5,4) and C(3,6) are the vertices of a right-angled triangle.

Without using Pythagoras theorem, show that A(4,4),\ B(3,5)a n d\ C(-1,-1) are the vertices of a right angled triangle.

Without using Pythagoras theorem, show that the points A(0,4),\ B(1,2)a n d\ C(3,3) are the vertices of a right angled triangle.

The Pythagorean theorem is a^2 + b^2 = c^2 . Solbe for a.

(Pythagoras’s Theorem) Prove by vector method that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.