Question about Irrational Numbers
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Irrational Numbers
Irrational Numbers
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
During a geometry class, a 9th-grade class studied polygons and triangles and learned that some line segments have lengths that cannot be expressed as rational numbers. To explore this concept, consider a square ABCD with sides of length 1 unit. a) Calculate the measure of the diagonal of this square using the Pythagorean theorem. b) Verify if the measure of the diagonal found is a rational or irrational number. Justify your answer. c) Give an example of a triangle whose height cannot be expressed by a rational number, considering the length of each side as a unit. Justify your choice with a mathematical argument.Answer sheet:
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