Define Pythagoras Theorem : Solved Examples

Sum of Two Sides	Angle Sum Property	Angles opposite to equal sides of triangle are equal	Angle opposite to longer side is greater	Pythagoras Theorem
Exterior Angle Property of a Triangle	Mid point property of Triangle	Triangles on same base & between same parallel lines

Length of three sides of a triangle are 10 cm, 24 cm and 26 cm. check whether this triangle is a right angle triangle ? As given in the question; length of three sides of a triangle are 10 cm, 24 cm & 26 cm. And we know that hypotenuse is the longest side, so: Hypotenuse = 26 cm Side 1 = 10 cm Side 2 = 24 cm Apply Pythagoras Theorem and we get: (Hypotenuse)2 = (side 1)2 + (side 2)2 Put the values of hypotenuse, side 1 & side 2 from above and we get (26)2 = (10)2 + (24)2 Find squares and we get: 676 = 100 + 576 Solve addition expression on R.H.S. and we get 676 = 676 Since L.H.S. = R.H.S. and shows that Pythagoras Theorem holds true, therefore: A triangle with length of three sides as 10 cm, 24 cm and 26 cm is a right angled triangle. Related Question Examples In a triangle, hypotenuse is 10 cm and one of its legs is 6 cm. Find the length of other leg of the triangle. Length of three sides of a triangle are 10 cm, 24 cm and 26 cm. check whether this triangle is a right angle triangle ? In the following diagram, AB = AD = 5 cm, AC = 4 cm, find BD. A man uses a 37 m long ladder to reach the 35 m high roof of his house, placing its one end on the ground and other against the roof end. Ladder, one end on the ground, is placed at a 'X' distance from foot of the house. Find this 'X' distance.