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?

In a 30-60-90 triangle, the shorter leg is half the length of the hypotenuse. In a 30-60-90 triangle, the hypotenuse is half the length of the shorter leg. In a 30-60-90 triangle, the shorter leg is double length of the hypotenuse. In a 30-60-90 triangle, the hypotenuse is double length of the shorter leg.

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?

30-60-90 Triangle: Quick Investigation

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

Information: 30-60-90 Triangle: Quick Investigation