I don't know what I did wrong

Book: Mathematics focus on understanding 9 page 16 part B

  1. Draw a right triangle with legs 1 unit in length as shown. Label the right angles. (I did that)

  2. Determine the length of the hypotenuse in radical form. Add this number to your diagram. ( what does that mean?)

  3. Draw a second right triangle such that the hypotenuse of the first triangle is a leg of the new triangle. The length of the other leg is 1 unit. Determine the length of the hypotenuse of the new triangle in radical form and add this value to your diagram. ( can someone please explain that in less complicated words? Plz!)

Answers
"Radical form" is when the number you write down contains the root of some number -- most usually the square root, written in text sqrt(3) for the square root of three. So suppose along your calculation you come across x^2 = 5, then in number form x = sqrt(5) which is about 2.236067977... which is a pain to write, and isn't actually right anyway. So you just write sqrt(5) (with that squiggly line). Anyway, for this problem you can use Pythagoras' Theorem a couple of times, that states that in a right angled triangle, if the hypotenuse is called h and the other two sides (called "legs" in the question) a and b, then h^2 = a^2 + b^2. So you'll find that the first hypotenuse is h^2 = 2 or h = sqrt(2).
jim360
17 October 2012
pytha.docx (13 KB)
Rosienette M.
19 October 2012
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