# The Lengths of the Sides of a Triangle are 3, 4, 5. Can the Triangle be a Right Triangle?

We will be using the concept and formula of Pythagorean Triples to solve this.

## Answer: The Lengths of the Sides of a Triangle (3, 4, 5) are of a right triangle.

Let's solve this step by step.

**Explanation:**

Using the Pythagorean triples formula, we know that a Pythagorean triple satisfies Pythagoras' theorem: c^{2} = a^{2 }+ b^{2}

Given that, a = 3, b = 4, c = 5.

c^{2} = 5^{2} = 25

a^{2 }+ b^{2} = 3^{2} + 4^{2} = 9 + 16 = 25

⇒c^{2} = a^{2 }+ b^{2}