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# Can the numbers 24, 32, and 40 make a right triangle?

We will be using the Pythagoras theorem to solve this.

## Answer: Yes, the numbers 24, 32, and 40 can make a right triangle.

Let's solve this step by step.

**Explanation:**

Given that sides; a = 24, b = 32, c = 40.

According to the Pythagorean theorem, we know that in a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the square of the other two legs.

We need to check whether c^{2} = a^{2} + b^{2}.

c^{2} = (40)^{2} = 1600

a^{2} + b^{2} = (24)^{2} + (32)^{2} = 576 + 1024 = 1600

Hence, c^{2} = a^{2} + b^{2}

You can also use the Pythagorean Theorem Calculator to check this.

### Thus, the numbers 24, 32, and 40 make a right triangle.

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