Problem: How to find the area of the triangle formed by the points (1, 3),(3, -1),(-5, -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_twordMuFBTg_gOlQ2Az5eIwpWuNjFZ0eswAZZpfOUnXxx96846wmUp52C9lRAaSV2NhQqdSIHygT-5xMNXuIfH-k0pi9c-8ifRuG3lJJPpFowYSuY_9LWL6ddY5Ie-hFlSueOl7_CbT6WpLv1izlFnkErIoRAhhmzrkgnJeA=s0-d)
Applying the formula,we get
![\frac{1}{2}|[1(-1+5)+3(-5-3)-5(3+1)]|\,](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_shoBHXlxG4yBFehnqes-VNTl4g514BORsQYkwOHOHZ4Q3gc4qpTUksrGiHqhd9JMKdqdzzOZ7kJen5ezHueujTRQAxx8CdFHyKL38BihCc9vVl_k1AbVv_ic22NixrJ4rL_hMMObxBrofEQUoXfhd2AViJlk72GkvdtRQkeg=s0-d)
Therefore, the area of the triangle is 20.
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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