Question

find the area of the triangle whose vertices are (5,2) (4,7) and (7,-4)​

Answer 1

Answer:

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Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.

Area of the triangle on putting values of vertices:

Area of the triangle = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)

= 5(7 - (-4)) + 4((-4) - 2) + 7(2 - 7)

= 5(7 + 4) + 4(-4 - 2) + 7(2 - 7)

= 5(11) + 4(-6) + 7(-5)

= 55 - 24 - 35

= - 4 Ans.

Hope it will help you!!!

Answer 2

Answer:

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