Google Classroom
GeoGebraGeoGebra Classroom

30-60-90 Triangle: Quick Investigation

Slide the slider (at the bottom) slowly and carefully observe what happens.

Suppose a 30-60-90 triangle has its shorter leg measuring 4 cm. What would the length of its hypotenuse be?

Suppose a 30-60-90 triangle has its shorter leg measuring 5 cm. What would the length of its hypotenuse be?

Suppose a 30-60-90 triangle has its shorter leg measuring 6 cm. What would the length of its hypotenuse be?

Suppose a 30-60-90 triangle has its hypotenuse measuring 30 cm. What would the length of its shorter leg be?

Suppose a 30-60-90 triangle has its hypotenuse measuring 44 cm. What would the length of its shorter leg be?

Which of the following statements are true?

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

In the GeoGebra app above, select the small checkbox in the upper left corner. Then slowly slide the slider back and forth a few times. What other kind of triangle do you see? What can we conclude here?