This Question needs to be done with GeoGebra 4.1 a) Draw a right triangle with angle measurements of 30° and 60° (a 30-60-90 triangle) 30⁰ Hypotenuse Right angle (AC) side 1 (AB) 60° B Now draw a table as follows (write in the names of your triangle's sides, e.g. AB, AC etc....). Right angle BC:AB side 2 (BC) BC:AC Measure each of the side lengths of the triangle, and fill in the table for five different sizes of triangles (You do not need to redraw the triangles each time, you just need to drag the vertices of the triangle to enlarge/ reduce the triangle). Take screenshots (with snipping tool) of each of your sketches. In the last two columns, write down the ratio of the given sides, in its simplest form (1:x) b) Write down a conclusion regarding the ratio of the lengths of the three sides of a 30- 60-90 degree triangle

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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This Question needs to be done with GeoGebra
4.1 a) Draw a right triangle with angle measurements of 30° and 60° (a 30-60-90 triangle)
30⁰
Hypotenuse Right angle
(AC)
side 1 (AB)
60⁰
Now draw a table as follows (write in the names of your triangle's sides, e.g. AB, AC
etc....).
Right angle BC:AB
side 2 (BC)
BC:AC
Measure each of the side lengths of the triangle, and fill in the table for five different
sizes of triangles (You do not need to redraw the triangles each time, you just need
to drag the vertices of the triangle to enlarge/ reduce the triangle). Take screenshots
(with snipping tool) of each of your sketches. In the last two columns, write down the
ratio of the given sides, in its simplest form (1:x)
b) Write down a conclusion regarding the ratio of the lengths of the three sides of a 30-
60-90 degree triangle
Instructions on drawing a triangle with give angle measurements:
Using the line tool, create a line with points A and B.
Under the angle tool menu there is an "Angle with Given Size" tool; select it.
Click on A, then B, and enter 70° and choose clockwise (point A' will be created).
Draw the line through B and A'.
Now click on B, then A, and enter 60° and choose counter-clockwise (point B' will be
created).
Draw the line through A and B'.
Make a point C at the intersection. ABC is the desired triangle. Hide the lines and draw
line segments.
Transcribed Image Text:This Question needs to be done with GeoGebra 4.1 a) Draw a right triangle with angle measurements of 30° and 60° (a 30-60-90 triangle) 30⁰ Hypotenuse Right angle (AC) side 1 (AB) 60⁰ Now draw a table as follows (write in the names of your triangle's sides, e.g. AB, AC etc....). Right angle BC:AB side 2 (BC) BC:AC Measure each of the side lengths of the triangle, and fill in the table for five different sizes of triangles (You do not need to redraw the triangles each time, you just need to drag the vertices of the triangle to enlarge/ reduce the triangle). Take screenshots (with snipping tool) of each of your sketches. In the last two columns, write down the ratio of the given sides, in its simplest form (1:x) b) Write down a conclusion regarding the ratio of the lengths of the three sides of a 30- 60-90 degree triangle Instructions on drawing a triangle with give angle measurements: Using the line tool, create a line with points A and B. Under the angle tool menu there is an "Angle with Given Size" tool; select it. Click on A, then B, and enter 70° and choose clockwise (point A' will be created). Draw the line through B and A'. Now click on B, then A, and enter 60° and choose counter-clockwise (point B' will be created). Draw the line through A and B'. Make a point C at the intersection. ABC is the desired triangle. Hide the lines and draw line segments.
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