Right triangle altitude to the hypotenuse is related to the legs of the right triangle by For solutions of this equation in integer values of "a, b, f", and "c", see here. The altitude from either leg coincides with the other leg. Since these intersect at the right-angled vertex, the right triangle's orthocenter—the intersection of its three altitudes—coincides with the right-angled vertex. The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the
Frank (given name) Frank (given name) Frank is a masculine given name. Ultimately from the Germanic tribal name of the Franks, in the early medieval Frankish Empire, the status of being "a Frank" became synonymous with that of a free man; hence also the English adjective "frank" (Middle English, from Old French "franc", 12th century). Use as a given name seems to arise already in the Carolingian period; the Old High German form "Francho, Franko" is on record from the 8th century. While "Frank" is a given name in its own right, in fact reflecting the Old Frankish form "*Frank", the given name