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Drawing Triangles

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Drawing Triangles Answer Key

Instructions: Use a protractor and straight edge to draw the triangles.

1. 
Draw an equilateral triangle. What is the measure of each angle?
  • all angles should be 60 degrees and all sides the same length
    for example:
    Equilateral Triangle v1
2. 
Draw an obtuse, scalene triangle.
  • check that 1 angle is greater than 90 degrees and that all 3 sides are different lengths
3. 
Draw an isosceles triangle with two angle measures of 80 and 50 degrees. Could more than one triangle be drawn that fits these conditions? Explain.
  • see drawing - no, since it is isosceles, the third angle must be 50 or 80 degrees, but if the third angle was 80 degree it would exceed the total measure of the angles of a triangle (180 degrees)
4. 
Can you draw a triangle with side lengths of 5 cm, 4 cm, and 10 cm? If yes, construct the triangle in the space below. If no, explain why.
  • no, 5 + 4 < 10 so it does not fit the definition of a triangle
5. 
Draw a triangle with angles of 30, 60, and 90 degrees. Could all three sides measure the same length? Explain.
  • Check angle measures of drawing. No, the shortest edge will be opposite the 30 degree angle, the medium length edge opposite the 60 degree angle, and the longest edge opposite the 90 degree angle.

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