Equilateral triangle terms of side length "a" can be derived directly using the Pythagorean theorem or using trigonometry. The area of a triangle is half of one side "a" times the height "h" from that side: The legs of either right triangle formed by an altitude of the equilateral triangle are half of the base "a", and the hypotenuse is the side "a" of the equilateral triangle. The height of an equilateral triangle can be found using the Pythagorean theorem so that Substituting "h" into the area formula (1/2)"ah" gives the area formula for the equilateral triangle: Using trigonometry, the area of
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