Dfind lengths of circumscribed quadrilateral
![dfind lengths of circumscribed quadrilateral dfind lengths of circumscribed quadrilateral](https://d2vlcm61l7u1fs.cloudfront.net/media/991/9916b8fb-2dc6-4e5f-91b6-25714175ce23/phprcCXJ7.png)
We will use variables that can be directly entered into the TI-84. Make the necessary measurements, and compute its area. Questions asked in the remaining tasks, 5, 6, and 7, are also applicable to part I.ĭraw a convex quadrilateral with sides 6 cm, 7 cm, 9 cm, and 11 cm. The third question is, is the maximal area with one way of stringing the same as or different from another way of stringing? See Tasks 3 and 4 below.
![dfind lengths of circumscribed quadrilateral dfind lengths of circumscribed quadrilateral](https://www.alecjacobson.com/weblog/media/circumscribed-triangle-circumcenter.png)
The second question is, for each way to string the pieces, how do you arrange the angles so that the quadrilateral's area is as large as possible? (See Task 3 below for a method to determine this.) Our first question is, how many different ways are there to string the four straws? (See "Remark" in Task 2 below.) We start by making quadrilaterals with four pieces of straw, whose lengths are 6, 7, 9, and 11 cm, and string (as in the picture). Supplies: drinking straws, string, scissors. In II we actually draw the different quadrilaterals with the same four side lengths, 6, 7, 9, and 11, and we ask the same questions. Students seem to prefer doing it with straws, so in I we use straws with lengths 6, 7, 9, and 11 cm. The hands-on part of this unit may be done by either stringing four pieces of straw on a string to make quadrilaterals or by drawing quadrilaterals using ruler and compass.