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Draw a Right Triangle The Maple drawing tools allow you to draw single lines on

ID: 3639102 • Letter: D

Question

Draw a Right Triangle

The Maple drawing tools allow you to draw single lines on a plot. More complicated shapes can be drawn using the basic tools. This question asks about how to create a procedure called drawRightTriangle that takes in a side length size and a starting [x, y] location.

Below in an example when calling drawRightTriangle with a size of 1 starting in location [1, 1].

drawRightTriangle(1, 1, 1);

When you enter the points into the procedure, the first point should have the smaller x value. If they both have the smaller x value then use the smaller y value first. Consider the two points [2+z, 3] and [2, 4], the point [2, 4] should be entered first because the x value is smaller.

This means the points should be:

Left Line: Bottom point then Top point

Bottom Line: Left point then Right Point

Hypotenuse: Left point then Right Point

1) Complete the following procedure:

with(plots):

with(plottools):

drawRightTriangle := proc(size, x, y)

       local left, bottom, hyp:

       left := line([      ,      ], [      ,      ]):

      bottom := line([      ,      ], [      ,      ]):

      hyp := line([      ,      ], [      ,      ]):

      return display([left, bottom, hyp]);

end proc;

2) How do you draw a right triangle starting at [-4, -1] of size 4?

    (    ,    ,    );

Draw a Right Triangle

The Maple drawing tools allow you to draw single lines on a plot. More complicated shapes can be drawn using the basic tools. This question asks about how to create a procedure called drawRightTriangle that takes in a side length size and a starting [x, y] location.

Below in an example when calling drawRightTriangle with a size of 1 starting in location [1, 1].

drawRightTriangle(1, 1, 1);

When you enter the points into the procedure, the first point should have the smaller x value. If they both have the smaller x value then use the smaller y value first. Consider the two points [2+z, 3] and [2, 4], the point [2, 4] should be entered first because the x value is smaller.

This means the points should be:

Left Line: Bottom point then Top point

Bottom Line: Left point then Right Point

Hypotenuse: Left point then Right Point

1) Complete the following procedure:

with(plots):

with(plottools):

drawRightTriangle := proc(size, x, y)

       local left, bottom, hyp:

       left := line([      ,      ], [      ,      ]):

      bottom := line([      ,      ], [      ,      ]):

      hyp := line([      ,      ], [      ,      ]):

      return display([left, bottom, hyp]);

end proc;

2) How do you draw a right triangle starting at [-4, -1] of size 4?

    (    ,    ,    );

Explanation / Answer

with(plots): with(plottools): drawRightTriangle := proc(size, x, y) local left, bottom, hyp: left := line([ 2 , 4 ], [ 3 , 6 ]): bottom := line([ 6 , 5 ], [ 6 , 6 ]): hyp := line([ 1 , 5 ], [ 4 , 6 ]): return display([left, bottom, hyp]); end proc;

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