Lengths of Squares and Right Triangles
Learning Goal
Visual 1: Click and drag the points to explore areas and side lengths of rectangles, squares, and right triangles.
Question 1: Use the visual to...
Hint: The area of the movable square is known, and for a square , so .
Question 1: Check your answer.
Visual 2: Click and drag the points to explore areas and side lengths of rectangles, squares, and right triangles.
Question 2: Use the Visual to...
Hint: Use squares and/or right triangles to compose the fixed square.
Question 2: Check your answer.
Visual 3: Click and drag the points to explore areas and side lengths of rectangles, squares, and right triangles.
Question 3: Use the Visual to...
Find the hypotenuse length of Triangle 1. Hint: You will do something similar to what you did in Question 2. Notice that the hypotenuse is the side of the inner square.
Question 3: Check your answer.
Visual 4: Click and drag the points to explore the distance between them.
Question 4: Use the Visual to...
Find the distance between each set of two points.
Hint 1: The hypotenuse is the side of the square and the distance.
Hint 2: Use a composition of shapes to find the area of the square, so you can find the side length.