Math Problem Statement

How many the area of the triangle above?

Solution

To find the area of the triangle △ABC\triangle ABC, we can use the coordinates provided:

  • A(−1,2)A(-1, 2)
  • B(5,2)B(5, 2)
  • C(3,6)C(3, 6).

Step-by-step method:

Since the triangle is plotted on a coordinate plane, we can use the formula for the area of a triangle given its vertices:

[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Area of Triangle

Formulas

Area of triangle formula (given vertices): A = 1/2 |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

Theorems

Formula for the area of a triangle using coordinates

Suitable Grade Level

Grades 9-12

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