Pythagorean TheoremA series of free High School Geometry Video Lessons from Brightstorm.
Using the Pythagorean Theorem to find a Missing Leg The legs of a right triangle are the sides that are adjacent to its right angle. Sometimes we have problems that ask us to find a missing length of one of these legs. We can use the Pythagorean theorem to find a missing leg of a triangle, but only if we know the length measure of the hypotenuse and the other one of the legs.
Space Diagonal The Pythagorean theorem is useful when we need to find the length of a space diagonal in a rectangular prism. The space diagonal is the diagonal passing through the space between vertices, instead of the bases or lateral faces. In other words, it is the diagonal that joins two opposing vertices in the prism, or the two vertices that don't share a face with each other.
Converse of the Pythagorean Theorem If we know that the sum of two square sides in a triangle equals the square of the third side, we can conclude that the triangle is a right triangle. Pythagorean triples are commonly seen side lengths that indicate when a triangle is a right triangle. Knowing these triples will save time when in calculations related to the Pythagorean theorem.
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