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In this engaging presentation, we explore the Pythagorean Theorem through a fun story featuring Rayhan, who makes footmarks on wet ground while walking in a straight line. This interactive discussion introduces the concepts of right triangles, including the legs and hypotenuse, and illustrates the fundamental theorem stating that the sum of the squares of the legs equals the square of the hypotenuse. We will delve into practical examples and calculations, ensuring a deeper understanding of this essential mathematical principle.
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The Pythagorean Theorem Presented by : I GEDE BENI MANUABA (080210101018) MATHEMATICS DEPARTEMENT FACULTY OF TEACHER TRAINING AND EDUCATION JEMBER UNIVERSITY
Short story : • Rayhanplays on the wet ground. He makes his footmarks as a picture below : • If rayhan walks on the straight way, from the firstplace to the lastplace, How many footmarks must be made by rayhan?. first place last place
The Legs and the hypotenuse • In a right triangle, the two sides which come together in a right angle are called : • legs, • the side opposite the right angle is called the : • hypotenuse. hypotenuse leg leg
The Pythagorean Theorem • In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse. • If a and b are the lengths of the legs and c is the length of the hypotenuse, then : a2 + b2 = c2 c a c < (a+ b) b
In this meeting we have learned about : Right Triangle The Pythagorean Theorem hypotenuse leg leg a2 + b2 = c2 c a c < a+ b b
