Google ClassroomGoogle Classroom
GeoGebraGeoGebra Classroom

The Final Classification Challenge

You've become an expert at classifying triangles by their sides and by their angles. Now it's time to put it all together!  Every triangle actually has two names—one that describes its sides and one that describes its angles. For example, you can have a Right Isosceles triangle or an Obtuse Scalene triangle.Your final mission is to build the following specific types of triangles. This will test all your skills!
  • Your Challenge List:
    • An Acute Isosceles triangle
    • Right Scalene triangle
    • Obtuse Isosceles triangle
    • Any triangle type in the chart below
Drag the vertices AB, and C until the side and angle measurements match the descriptions above. Good luck!

A triangle has side lengths of 5 cm, 5 cm, and 8 cm. One of its angles is 94°. What is the triangle's full classification?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

You measure a triangle and find it has angles of 90°, 45°, and 45°. Its side lengths are 6 in, 6 in, and approximately 8.5 in. What is its correct classification?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Which of the triangle types is impossible to build? Why?