Move any of the two large points (below) anywhere you'd like at any time. [br][br]Slide the black slider to form an isosceles right triangle. [br][br]Then, answer the questions that follow.
Use the [b]Angle[/b] tool to measure and display the measures of angles [i]A[/i] and [i]B[/i]. What is each angle measure?
Suppose [i]AB[/i] = 3 cm. Use the Pythagorean Theorem to determine the length of the hypotenuse of this isosceles right triangle in SIMPLE RADICAL FORM.
Suppose [i]AB[/i] = 4 cm. Use the Pythagorean Theorem to determine the length of the hypotenuse of this isosceles right triangle in SIMPLE RADICAL FORM.
Suppose [i]AB[/i] = 5 cm. Use the Pythagorean Theorem to determine the length of the hypotenuse of this isosceles right triangle in SIMPLE RADICAL FORM.
Suppose [i]AB[/i] = 6 cm. Use the Pythagorean Theorem to determine the length of the hypotenuse of this isosceles right triangle in SIMPLE RADICAL FORM.
Do you notice anything interesting about your results from (2) - (5) above? If so, describe.
In your own words, describe the relationship among the lengths of the legs and hypotenuse in any isosceles right triangle.