Problem: How to find the area of the triangle formed by the points (2, 4),(2, 6),(2+sqrt{3}, 5)
Solutions:
The formula for finding the area of the triangle formed by
![\frac{1}{2}|[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]|\,](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sW76kD7WXVAybNnxOF7MXjLI_xCdooFqkyncvTEh0pniWuy1q1-FHigF5J6NmgOCmKWOqaIvTuilWYNTy_3uxX9evfAp8UYiIGBnLU7shFaEDOFklu_A-0gjv96t-KqHTmwg0SlIko671Bdpd2PFxuWpujIkYeezL0vITl4Q=s0-d)
Applying the formula,we get
![\frac{1}{2}|[2(6-5)+2(5-4)+(2+\sqrt{3})(4-6)]|\,](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_siHucOQ46-yVdibJ_0aXs_te9eu9tuyjECoMLnFgMcwwpZtxA21vKJ9Yb_uyABe8BSSWSFleTSUW6TQOlVjnuQXNz8-9c_IMDCzbFoeIgds4q_zQTWkTS-IjqRfwMhWoYa450U7zxCnNhME3u-J_e4-vN50dgeWW8BkAEq=s0-d)
Therefore, the area of the triangle is 
List of Similar Problems with Complete Solutions
- How to find the area of a polygon
- How to find distance between two points
- Examples Problems with Solutions in Geometry
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Area,
Geometry Problems
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