Find the area of a triangle with vertices at the point given in the following: (1, 0), (6, 0), (4, 3) - Mathematics

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Sum

Find the area of a triangle with vertices at the point given in the following:

(1, 0), (6, 0), (4, 3)

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Solution

Area of ​​the triangle passing through the vertices `(x_1,y_1),(x_2,y_2),(x_3,y_3)`

`Delta = 1/2 abs ((x_1,y_1,1),(x_2,y_2,1),(x_3,y_3,1))`

Area of ​​the required triangle

`Delta = 1/2 abs((1,0,1),(6,0,1),(4,3,1))`

`=1/2 [1 (0 - 3) - 0 (6 - 4) + 1 (18 - 0)] `

`= 1/2 [-3 + 18]`

`= 15/2`

= 7.5 sq. units.

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Chapter 4: Determinants - Exercise 4.3 [Page 122]

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NCERT Mathematics Class 12
Chapter 4 Determinants
Exercise 4.3 | Q 1.1 | Page 122

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