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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
icon
Related questions
Question
100%
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,