JSS 2 Mathematics Third Term Week 1
Topic: PYTHAGORAS’ THEOREM
Pythagorean theorem which states the special relationship between the sides of a right triangle is perhaps the most popular and most applied theorem in Geometry. The algebraic statement of the Pythagorean theorem is used to derive the distance formula in coordinate Geometry and to prove the Pythagorean identities in Trigonometry. In fact, the fundamentals of Trigonometry are taught using the ratios of the sides of a right triangle.
Right triangles and Pythagorean theorem are not only used to solve real life problems, but often used in solving many advanced problems in Mathematics and Physical Sciences.
Euclid used squares drawn on the sides of the right angles and showed the area of the square drawn on the hypotenuse is equal to the sum of the areas of the squares drawn on the legs of a right triangle.
The algebraic form of the statement of Pythagoras theorem c2 = a2 + b2 is used in solving right triangles.
The statement of the Pythagorean theorem is as follows:
In a right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
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