Pythagorean Theorem Charts - Free Printable

Let’s work through this step by step.

We are given a right triangle with legs labeled a and b, and hypotenuse labeled c.

The Pythagorean Theorem says:

> In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (the legs, a and b).

That means:

c² = a² + b²

Now let’s look at the diagram to find the actual values of a, b, and c.

From the image:

- Square A (pink) has side length a. It’s made up of 3 rows and 3 columns → so a = 3
- Square B (blue) has side length b. It’s made up of 4 rows and 4 columns → so b = 4
- Square C (green) has side length c. We can count its grid — it’s tilted, but we don’t need to count directly because we’re using the theorem!

So plug in the numbers:

a = 3 → a² = 3 × 3 = 9
b = 4 → b² = 4 × 4 = 16

Add them:
a² + b² = 9 + 16 = 25

So c² = 25

To find c, take the square root of 25:
c = √25 = 5

✔ Let’s double-check:
Is 3² + 4² = 5²?
9 + 16 = 25 → Yes! Correct.

Final Answer:
5