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Mathematics 2 ESO – Unit 10 SIMILARITY page 102 – activity 15

a)  Watch the video on “Applying the Pythagorean Theorem” and answer:

  • I) How can Lucy use the Pythagorean Theorem to calculate the distance from home to the park along Canyon Trail?
  • II) How can we use the Pythagorean Theorem combined with the coordinate grid to calculate the distance between two points?
  • III) Calculate the distance between point A (6,4) and point B (3,7)

b)  Watch the video on “Applications of the Pythagorean Theorem: Lesson (Basic Geometry Concepts)” and find if these triangles are acute, right or obtuse (explain why):

  • I) Lengths of its sides: 30 ; 42 ; 56
  • II) Lengths of its sides: 15 ; 20 ; 25
  • III) Lengths of its sides: 21 ; 29 ; 32