Recreating the Original Triangle
You will be using the following original triangle in the following activity.
With a ruler, measure the sides of the original triangle to the nearest millimeter. Write down the length of each side in your math journal.
With a protractor, measure the angles of the original triangle to the nearest degree. Write down the measure of each angle in your math journal.
SSS: Cut three pieces of string. Make each piece of string the length of one of the sides of the original triangle. Put the string together to form a triangle and trace the triangle on a separate piece of paper. Measure the angles of the triangle with your protractor.
Are the lengths of the sides and the measures of the angles of the triangle you created the same as the original triangle?
Rearrange the string to make a different triangle. Is there any way to create a triangle that has different angle measures?
SAS: Choose two sides of the original triangle. Cut two pieces of string and make each piece of string the length of one of those sides. Measure the angle between the sides that you chose and draw an angle of that measure on a separate sheet of paper. Put the string together to form the sides of that angle and trace them. Draw in the third side of the triangle. Measure the third side that you drew and the two angles adjacent to that side.
Are the lengths of the sides and the measures of the angles of the triangle you created the same as the original triangle?
Draw the starting angle elsewhere on your paper and rearrange the string to make a different triangle. Is there any way to create a triangle whose third side has a different length?
ASA: Choose one side of the original triangle. Cut one piece of string and make the piece of string the length of that side. Trace the string on a separate sheet of paper. Measure the angles on either side of the side that you chose, and draw angle of those measures on either side of the line you traced on the paper. Extend the sides of the angles until they intersect and form a triangle. Measure the two sides that you drew and the angle between them.
Are the lengths of the sides and the measures of the angles of the triangle you created the same as the original triangle?
Rearrange the string and re-draw the two starting angles to make a different triangle. Is there any way to create a triangle that has different side lengths?
The original triangle⬇️
