Match each statement to the correct option provided. In a right- angled triangle, the square of the hypotenuse side equals the sum of the squares theose... Euclidean Theorem sides. \( \quad \begin{array}{l}\text { The Converse of Pythagorean theorem } \\ \text { Pythagorean Theorem }\end{array} \)
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The Deep Dive
The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Picture a right triangle where the sides measure 3 units and 4 units; you'll find that the hypotenuse will measure 5 units, which is derived from the equation \( 3^2 + 4^2 = 5^2 \). Now, as for the Converse of the Pythagorean theorem, it goes the other way around! If you have a triangle where the square of one side equals the sum of the squares of the other two, then you've got yourself a right triangle. It's like a secret handshake for triangles! If you pick any three lengths and they fit this condition, you can be sure to whip out the protractor and declare it a right angle. How fun is that?