# Find the Area of the Triangle Whose Vertices Are: (2, 3), (-1, 0), (2, -4) - Mathematics

Find the area of the triangle whose vertices are: (2, 3), (-1, 0), (2, -4)

#### Solution

Area of a triangle is given by

Area of triangle = 1/2 {x_1 (y_2 - y_3)+ x_2 (y_3 - y_1)+ x_3 (y_1 - y_2)}

Area of the given triangle = 1/2 [2 { 0- (-4)} + (-1) {(-4) - (3)} + 2 (3 - 0)]

= 1/2 {8 + 7 + 6}

=21/2 square units.

Concept: Area of a Triangle
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#### APPEARS IN

NCERT Class 10 Maths
Chapter 7 Coordinate Geometry
Exercise 7.3 | Q 1.1 | Page 170