Triangles 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.
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