Question
The vertices of a triangle are (2, 1), (5, 4), and (8,
1). What is the area of the triangle?Solution
ATQ, The vertices of the triangle are (2, 1), (5, 4), and (8, 1). Using the area formula: Area = 1/2 × | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) | Substituting the values: Area = 1/2 × | 2(4 - 1) + 5(1 - 1) + 8(1 - 4) | Area = 1/2 × | 6 + 0 - 24 | = 1/2 × 18 = 9 The area of the triangle is 9 square units.
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