Ôn tập về các tam giác vuông đặc biệt

A thirty-sixty-ninety triangle. The length of the shorter leg of the triangle is one unit. The length of the longer leg of the triangle is a question mark. The length of the hypotenuse of the triangle is two units. An identical thirty-sixty-ninety triangle is its reflection over its longest leg to create an equilateral triangle. The side length of the equilateral triangle is two units. The height of the equilateral triangle is an unknown number. The base of the equilateral triangle is one plus one unit.

Two thirty-sixty-ninety triangles. For the top triangle, the length of the shortest leg is one unit, the length of the longest leg is the square root of three units, and the length of the hypotenuse is two units. An arrow, labeled times h, leads from the top triangle to the bottom triangle. For the bottom triangle, the length of the shortest leg is h, the length of the longest leg is h times the square root of three, and the length of the hypotenuse is two h.

A number line where equal-distanced tick marks are zero, one h, and two h. A point is on one h. A point is on two h. A point is between tick marks one h and two h closer to two h. It is at square root three h which is approximately one point seventy-three h.

Two forty-five-forty-five-ninety triangles. For the top triangle, the length of both legs is one unit, and the length of the hypotenuse is square root two units. An arrow, labeled times k, leads from the top triangle to the bottom triangle. For the bottom triangle, the length of both legs is k units, and the length of the hypotenuse is k square root two units.

A number line where equal-distanced tick marks are zero, one k, and two k. A point is on one k. A point is on two k. A point is between tick marks one k and two k closer to one k. It is at square root two k which is approximately one point forty-one k.