Discover the geometric properties of the right triangles [math]30°-60°-90°[/math] and [math]45°-45°-90°[/math] by interactively exploring the app below.[br][br]Use the slider to view the geometric construction that shows the metric properties of the triangles.[br]Drag points [i]A[/i] and [i]B[/i] to explore different configurations.
One of the legs of a right triangle measures [i]x[/i] inches.[br]The other leg measures 6 inches.[br]Write the expression that defines the length of the hypotenuse.
[i]When you divide an equilateral triangle in half, you get two isosceles right triangles.[br][br][/i]True or false?[br]If false, justify your answer by providing a counterexample, if appropriate.
One of the angles of a right triangle measures 60°.[br]The length of the leg adjacent to that angle is 5 centimeters.[br]Calculate the length of the other leg and the hypotenuse.
The hypotenuse of a tile of a mosaic, shaped like an isosceles right triangle, measures [math]3\sqrt{2}[/math] centimeters.[br]What is the length of each of the other two sides of the tile?