Use geometry software to draw a triangle whose sides have the following lengths: 2 units, 3 units, and 4 units.
Step 1 :
Draw the segments.
Step 2 :
Let AB be the base of the triangle. Place point C on top of point B and point E on top of point A.
Step 3 :
Using the points C and E as fixed vertices, rotate points F and D to see if they will meet in a single point.
Note that the line segments form a triangle.
Repeat step 1 and step 2, but use a different segment as the base. Do the segments form a triangle? If so, is it the same as the original triangle ?
Yes; the triangle has the same size and shape as the original.
Question 2 :
Use geometry software to draw a triangle with sides of length 2, 3, and 6 units, and one with sides of length 2, 3, and 5 units. Do the line segments form triangles? How does the sum of the lengths of the two shorter sides of each triangle compare to the length of the third side ?
1 st : no, 2 + 3 < 6
2 nd : no; 2 + 3 = 5
Question 3 :
Do two segments of lengths a and b units and a longer segment of length c units form one triangle, more than one, or none ?
One triangle if a + b > c ; none if a + b ≤ c.
Use a ruler and a protractor to draw a triangle for the given measures.
Angles : 30° and 80°
Length of included side : 2 inches
Step 1 :
Use a ruler to draw a line that is 2 inches long. This will be the included side.
Step 2 :
Place the center of the protractor on the left end of the 2-in. line. Then make a 30°-angle mark.
Step 3 :
Draw a line connecting the left side of the 2-in. line and the 30°-angle mark. This will be the 30° angle.
Step 4 :
Repeat Step 2 on the right side of the triangle to construct the 80° angle.
Step 5 :
The side of the 80° angle and the side of the 30° angle will intersect. This is Triangle 1 with angles of 30° and 80° and an included side of 2 inches.
Will a triangle be unique if you know all three angle measures but no side lengths ?
Yes, the two angles and the length of the included side determine the point at which the sides meet. The triangle is unique.
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