fb_HAG - mkraska/meclib GitHub Wiki

Hypotenuse too long or too short?

fb_HAG(H, A, G)

  • H hypotenuse
  • A, G legs (Katheten)

Part of fb_value.mac:

stack_include("https://raw.githubusercontent.com/mkraska/meclib/main/Maxima/fb_value.mac");

Returns a feedback text for a feedback branch, after the variables have been checked with fb_vars:

  • the hypotenuse is not longer than the longer leg: "The hypotenuse (1.41·a) must be longer than the longer of the two legs (3·a and 2.24·a)."
  • the hypotenuse is not shorter than the sum of the legs: "The hypotenuse (7·a) must be shorter than the sum of the two legs (3·a + 2.24·a = 5.24·a)."
  • otherwise "".

The texts are in German and English (see Multilingual questions). The values are shown as formulas with 3 significant figures and with the decimal separator of the question (1,41·a with the decimal comma). It is not recommended to have more than one symbolic variable in the expressions. This variable must have a declared sign (e.g. assume(a>0)), otherwise the comparisons cannot be decided.

Older questions define their own copy of fb_HAG() in the question variables. That copy writes the numbers with a decimal point regardless of the question's setting. The Meclib Workbench review offers to delete it and include fb_value.mac instead.

PRT node

If you don't need the result of the test elsewhere, then you just put the function call where you want the feedback.

{@fb_HAG(H, A, G)@}