Home | Geometry | Triangles | Recommended Investigations

 Recommended Investigations Find the Hidden Treasure: Determine a shortcut to find a treasure inside of a triangle. Capture the Flag: Locate the best starting position in a game of capture the flag. Squaring with Squares: Draw area connections to the Pythagorean Theorem. Biggie Size It!: Explore changes in the perimeter and area of a triangle when you increase its size. Transformers: Make a triangle from a quadrilateral without changing the area. Triangles in a Trapezoid: Determine the relationship between the areas of triangles formed by the diagonals of a trapezoid. Triangle Inside a Rectangle: Examine the area and perimeter of a triangle compared to a rectangle. Rationalize this!: Find the a right triangle with rational side lengths, and a hypotenuse numerically equal to the area of the triangle. Equal Areas: Determine why a certain rectangle has the same area as a triangle. Optimal Triangles: Determine the largest area of a triangle given a restricted perimeter. All Swimmed Out: Determine the shortest path in a noncollinear route using triangles. The Third Side: What are the possible perimeters that a given triangle can have? Casting Shadows: Use a man's shadow to determine his distance from a tree. Bouncing Barney: Follow Barney's walking pattern to determine how many times he will reach a wall before returning to his starting point. Transforming Triangle: What is the perimeter of a rectangle formed from an equilateral triangle? Triangle in a Quadrilateral: Given the ratio of a quadrilateral's length to width, find the ratio of the area of a special shaded region to the area of the quadrilateral. What is this point?: Determine the properties associated with a special point inside a triangle. Submit your idea for an investigation to InterMath.