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Info for Pythagorean spiral project 

1. What classifies the very first triangle that I created by both sides and angle measures

2.Using what you know from question 1 and the triangle you constructed first, is this a special right triangle why or why not

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1 Answer

  • 2 months ago

    Have you learned how to use the Pythagoras theorem?

    It states that, in a right-angled triangle, the sum of the squares of the two shorter sides add up to the square of the hypotenuse.

    So, if the shorter sides are a and b long, then the hypotentise is h long where

    h^2 = a^2 + b^2

    For the first triangle, a = b = 3, so h^2 = 2*3^2 and h = 3sqrt(2)

    For the second triangle, one side is 3sqrt(2) and the other is 3

    so h = sqrt(3^2 + 2*3^2) = sqrt(3*3^2) = 3sqrt(3)

    For the nth triangle h = sqrt((n+1)*3^2) = 3sqrt(n+1).......

    So, start using what you've been taught already!

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