Question

The Pythagorean Theorem states that for any given right triangle, a^2 + b^2 = c^2. What should be the relationship between the areas of the three squares?

A) The areas of the three squares are equal.
B) The area of square 1 is equal to the sum of the areas of squares 2 and 3.
C) The area of square 3 is equal to the sum of the areas of squares 1 and 2.
D) The areas of squares 1 and 2 are equal, and the area of square 3 is twice as large.

Answer 1

The relationship between the areas of the three squares of a right triangle can be explained using the Pythagorean Theorem.

Step-by-step explanation:

The relationship between the areas of the three squares can be explained using the Pythagorean Theorem.

Let's say the sides of the right triangle are a and b, and the hypotenuse is c.

In this case, the squares represent the areas of the sides.

Square 1 represents the area of side a, Square 2 represents the area of side b, and Square 3 represents the area of side c.

According to the Pythagorean Theorem, a^2 + b^2 = c^2.

So, the correct relationship between the areas of the three squares is option C) The area of square 3 is equal to the sum of the areas of squares 1 and 2.