Generalizing the Pythagorean equation for triangles with integer sides to powers greater than 2 leads to Fermat’s last theorem and the so-called ABC conjecture (see The Amazing ABC Conjecture ...

The hypotenuse of a right triangle is the triangle's longest side; the side opposite the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem ...

This seemingly simple formula contains profound geometric truth. The legs of a right triangle create the foundation, whilst the hypotenuse bridges them at the perfect angle. To fully grasp this ...

His equation is simple: a2 + b2 = c2. What it means is that in a right triangle (where one angle equals 90°), the sum of the squares of two sides equals the square of the hypotenuse (the longest ...

One of the first theorems anyone learns in mathematics is the Pythagorean Theorem: if you have a right triangle, then the square of the longest side (the hypotenuse) will always equal the sums of ...

A classic Pythagorean triple, 3-4-5. To solve for a hypotenuse (the longest side), you must start with a right triangle, which contains a 90-degree angle. From there, you square the length of each ...

These three equations are true for all right-angled triangles. They are known as the three trigonometric ratios because they show how large one side is compared to the other based on an angle Ɵ.

The Pythagorean theorem provides an equation to calculate the longer side of a right triangle by summing the squares of the other two sides. It is often phrased as a2 + b2 = c2.