... using the Pythagorean theorem.Therefore, 5 + 12 + 13 = 30.16. a. This uses the Pythagorean theorem. The longestobject would fit on a diagonal from an uppercorner to a lower corner. Since the ... sides by ᎏ47ᎏto solve forE,we get E = 140,000(ᎏ47ᎏ), or 80,000. ThereforeH = ᎏ14ᎏE ,or (ᎏ14ᎏ)80,000, which equals 20,000, andN = 2H, or 2(20,000), or 40,000.13. b. M = 3N ... Therefore, the area of the tri-angle is ᎏ12ᎏbh = 12. The area of the circle is πr2,which is equal to 9 . Therefore, the half-circle’sarea is ᎏ 9 2πᎏ. Adding gives ᎏ 9 2πᎏ+ 12. 19. ...