...altitudes; and equivalent triangles, whose altitudes are equal, have equal bases. PROPOSITION VII. THEOREM. The area of a trapezoid is equal to half the product of its altitude by the sum of its parallel sides. Let ABCD be a trapezoid, DE its altitude, AB and CD...

...And generally, triangles are to each other as the products of their bases and altitudes. THEOREM X. The area of a trapezoid is equal to half the product of its altitude by the sum of its parallel sides. D Of Rectangles. For, produce AB until BE is equal to...

...And generally, triangles are to each other as the products of their bases and altitudes. THEOREM X. The area of a trapezoid is equal to half the product of its altitude multiplied by the sum of its parallel sides. 90 Of Rectangles. For, produce AB until BE...

...altitudes; and equivalent triangles, whose altitudes are equal, have equal bases. PROPOSITION VII. THEOREM. The area of a trapezoid is equal to half the product of its altitude by the sum of its parallel sides. Let ABCD be a trapezoid, DE its altitude, AB and CD...

...of its opposite sides, / ! AB, DC, parallel. The perpendicular, / ] EF, is called the altitnde. AFB The area of a trapezoid is equal to half the product of the svm of the two parallel sides by '.he altitnde (Bk, IV., Prop. VII.). Examples. 1. Required the area...

...that the area of a triangle is equal to half the product of its base by its altitude. THEOREM XVIII. The area of a trapezoid is equal to half the product of the sum of its parallel sides by its altitude. Let ABCD be a trapezoid of I) which AB and DC are the parallel...

...altitudes lO and DH, or as the squares of any homologous lines. AREA OF TRAPEZOIDS. 393. Theorem — The area of a trapezoid is equal to half the product of its altitude by the sum of its parallel sides. The trapezoid may be divided by a diagonal into two...

...two of its opposite sides, / AB, DC, parallel. The perpendicular, / EF, is called the altitude. A ru The area of a trapezoid is equal to half the product of the sum of the two parallel sides by the altitude (Bk. IV., Prop. VII.). Examples. 1. Required the area or contents of the trapezoid...

...; and equivalent triangles, whose altitudes a« equal, have equi 1 bases. PROPOSITION VII. THEOREM. The area of a trapezoid is equal to half the product of itt altitude by the sum of its parallel sides. Let ABCD be a trapezoid, DE its altitude, AB and CD...

...above, if B = b, or A = a, the equals can be cancelled from the second ratio (Pn. 21). B THEOREM V. II, The area of a trapezoid is equal to half the product of its altitude and the sum of its parallel sides. Let EF be the altitude of the trapezoid A BCD; then...