


Practical Problems
The side AC is called the hypotenuse of the right triangle. The side which is opposite to 90 degree is called the hypotenuse side and it is the longest side and is opposite to the right angle. Greek mathematician Pythagoras has found that the length of the square on the hypotenuse is equal to the sum of the length of the squares on the other two sides. That is AC 2 = AB 2 + BC 2. This is knows as Pythagoras theorem.
Practical problems  solvedQuestion 1: Solution: AC = ladder = 17 m AB = height the ladder touches = 15 m AC ^{2} = AB ^{2} + BC ^{2} BC ^{2} = AC ^{2} + AB ^{2} BC ^{2} = 17^{2}  15 ^{2} BC ^{2} = 289  225 BC ^{2} = 64 BC ^{2} = √64 BC ^{2} = √8 x 8 Distance of the foot of the ladder from the house = 8 m Question 2: The length of the diagonal of a square is 4√2 m.Find the length of the side. Solution: Let "a" be the side of the square given.AC = 4√2 In a right angled triangle ABC AB ^{2} + BC ^{2} = AC ^{2} a ^{2} + a ^{2} = (4√2) ^{2} a ^{2} = 16 a = √4 x 4 Therefore a = 4 side of the square = 4 m
These are some of the real life usage.Students need to practice this kind of problem to clear understanding.We have also given worksheets to practice this kind of problem.Usually students will have these kind of problems in school grade.All the best

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