...expressed also by EFx III; that is, it is equal to the product of the altitude of the trapezoid by the line joining the middle points of the sides which are not •parallel. THEOREM. f\g. 106. 180. If a line AC (fig. 106) is divided into two parts AB, BC, the square described upon...

...be expressed also by EF x HI; that is, it is equal to the product of the altitude of thetrapezoid by the line joining the middle points of the sides which are not parallel. . THEOREM. Fig. 106. '80. If a line AC (fig. 106) is divided into two parts AB, BC, the square described upon...

...expressed also by EF X. HI; that is, it is equal to the product of the altitude of the trapezoid by the line joining the middle points of the sides which are not parallel. THEOREM. Fig. 106. 180. If a line AC (fig. 106) is divided into two parts AB, BC, the square described upon...

...expressed also by EF X HI; that is, it is equal to the product of the altitude of the trapezoid by the line joining the middle points of the sides which are not parallel. THEOREM. Fig. 106. 180. If a line AC (fig. 106) is divided into two parts AB, BC, the square described upon...

...reasoning so beautiful as that of Legendre, there should be even the appearance of a chasm. Theorem 178 is, The area of a trapezoid is equal to the product of its altitude by half the sum of its parauel sides. The labored demonstration here given is unnecessary. The truth...

...area of a regular polygon is equal to the product of its perimeter by half the radius 103. THEOREM.— The area of a trapezoid is equal to the product of its altitude by half the sum of its paral1el sides. By the altitude of a trapezoid we mean the perpendicular let...

...opposite side, produced if necessary; and by the base the side upon which the perpendicular falls. 103. —The area of a trapezoid is equal to the product of '. its altitude by half the sum of its parallel sides—. By the altitude of a trapezoid we mean the perpendicular...

...(84). But the area of ABCD=ADxC E (101). Therefore the area of ACD=half of A DxC E. 103. THEOREM.— The area of a trapezoid is equal to the product of its altitude by half the Sinn of its parallel sides. By the altitude of a trapezoid we mean the perpendicular let...

...AB + CD, HI= ±(AB+ CD). 255. Corollary. The area of a trapezoid is the product of its altitude by the line joining the middle points of the sides which are not parallel. 256. Theorem. The square described upon the hypothenuse of a right triangle is equivalent to the sum...

...the other two sides. 16. Every triangle is half of a parallelogram of the same base and'altitude. 17. The area of a trapezoid is equal to the product of its altitude by half the sum of its parallel sides. 18. A line drawn so as to divide a triangle parallel to its...