asap pls Current Attempt in Progress(a)In the accompanying figure, the area of the triangle ABC can be expressed asC(x. y3)area ABC = area ADEC + area ČEFB - area ADFB1the altitude times the sum of the parallelB(x, y2)Use this and the fact that the area of a trapezoid equalsA(x. Y1)sides to show thatx1 yı1EFarea ABC =X2 y21X3 y31Note In the derivation of this formula, the vertices are labeled such that the triangle is traced counterclockwise proceeding from (x1,y1) to (x2. y2) to (x3, y3). For a clockwise orientation, the determinant above yields the negative of the area.(You should not solve (a)(b) Use the result in (a) to find the area of the triangle with vertices (-3,-2),(10,0),(2, 2).Area =i

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(a) In the accompanying figure, the area of the triangle ABC can be expressed as C(x3. y3) area ABC = area ADEC + area ČEFB - area ADFB 1 the altitude times the sum of the parallel B(x, y2) Use this and the fact that the area of a trapezoid equals A(x- y) sides to show that x1 yi 1 D E area ABC = X2 y2 1 2 X3 y3 1 Note In the derivation of this formula, the vertices are labeled such that the triangle is traced counterclockwise proceeding from (x1, yı) to (x2, y2) to (x3 , y3). For a clockwise orientation, the determinant above yields the negative of the area. (You should not solve (a)) (b) Use the result in (a) to find the area of the triangle with vertices (-3,-2), (10,0), (2,2). Area = i

(a) In the accompanying figure, the area of the triangle ABC can be expressed as C(x3. y3) area ABC = area ADEC + area ČEFB - area ADFB 1 the altitude times the sum of the parallel B(x, y2) Use this and the fact that the area of a trapezoid equals A(x- y) sides to show that x1 yi 1 D E area ABC = X2 y2 1 2 X3 y3 1 Note In the derivation of this formula, the vertices are labeled such that the triangle is traced counterclockwise proceeding from (x1, yı) to (x2, y2) to (x3 , y3). For a clockwise orientation, the determinant above yields the negative of the area. (You should not solve (a)) (b) Use the result in (a) to find the area of the triangle with vertices (-3,-2), (10,0), (2,2). Area = i

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 17E

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