Question

side a is 6 cm
b is 8 cm is the bottom part of the triangle
c is where the longer side is


What is the area of square A (a^2)?


What is the area of square B (b^2)?


What is the sum of areas of the squares (c^2)?


What is the square root of the sum of the areas of the squares (c)?


Explain how the diagram represents the Pythagorean Theorem.

Answer 1

- Area of square A (a^2) = 6 cm x 6 cm = 36 cm^2
- Area of square B (b^2) = 8 cm x 8 cm = 64 cm^2
- Sum of areas of the squares (c^2) = 36 cm^2 + 64 cm^2 = 100 cm^2
- Square root of the sum of the areas of the squares (c) = √100 cm^2 = 10 cm

The diagram represents the Pythagorean Theorem as follows:

In a right-angled triangle, square A is constructed on one side (side a), square B is constructed on the other side (side b), and square C (area c^2) is constructed on the hypotenuse (side c). According to the Pythagorean Theorem, the sum of the areas of the squares constructed on the two shorter sides (a^2 + b^2) is equal to the area of the square constructed on the hypotenuse (c^2). This is shown in the diagram where the sum of areas of squares A and B is equal to the area of square C.