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_vPcRIVIqXw3jwa4CbCx-Wkmzvx47CbBibDvQ02XGfBSIo_hXYYduucNnel-6QIqfnxcXYSXZxWp6jA3t7KY0LdeJM6CH8YXdESxcgrByIYexAAo_InWY4J7jc76YaoY1ZOgsA8FleiMQlHIYULwy2I4CSwI-zdbZy-80m2-A=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_svi1ZpinYOcREDCy0QFZC811CA3HWVPI1M9bBLXyIxG1KUYNKUCFUBExgZ81DXSfCbgb8VSW-67R78rR-RIKk1KAWKdY7G3G7OgAJ_HmrOpYpJJOy--bzJgJxwHZWrMs5dXI8XPgBKZA4ew8QLicRsSJX9OyPeDuPvE7JHqQ=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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