Tell whether the triangle with side lengths of 20 meters, 21 meters, and 29 meters is a right The triangle \( \quad \checkmark \) a right triangle.

To check if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) equals the sum of the squares of the other two sides. Here, the side lengths are 20 meters, 21 meters, and 29 meters. Calculating the squares: - \( 29^2 = 841 \) - \( 20^2 + 21^2 = 400 + 441 = 841 \) Since \( 29^2 = 20^2 + 21^2 \), this triangle is indeed a right triangle! The Pythagorean theorem isn’t just a math rule; it's like the magic key that helps you unlock the mysteries of triangles! It was named after a famous ancient Greek mathematician, Pythagoras, who had loads of fun exploring relationships in geometry. Imagine a world where shapes dance and play games, all governed by Pythagorean principles—what a party that must have been! If you're looking to dive deeper into the world of triangles, consider exploring this fantastic area of geometry called trigonometry! It's where you transform your knowledge of triangles into understanding angles and their relationships, opening doors to fields like physics, engineering, and even computer graphics! Check out resources like "Trigonometry Demystified" for a fun, clear explanation that will take you from acute angles to a whole new realm of knowledge.