Prove that in a triangle if the square of one side is equal to the sum of the squares of the other two side then the angle opposite to the first side is a right angle.

Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angles opposite to the first side is a right angle.

Theorem 6.8 : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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 triangle with the angle opposite the first sides as right angle.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

PYTHAGORAS THEOREM : In a Right angled triangle; the square of hypotenuse is equal to the sum of the squares of the other two sides.

Prove that in any triangle the sum of squares of any two sides is equal to twice the square of half the third side together with twice the square of the median.

Fill in the balnks : (i) In a right triangle, the square of the hypotenuse is equal to the……….of the square of the other two sides. (ii) 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......... (iii) Of all the line segments that can be drawn to a given line form a given point outside it, the.............is the shortest.

Prove that the sum of the squares of the diagonals of parallelogram is equal to the sum of the squares of its sides.

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is