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_t86Cwzy9kEq6Lhc10gOYZeCRQMXDDazn_QlNwLvCj9Zv4cBIQpmECp6G_BLyBIsw15rVa9cxV2yXQ_THpjD6qrLmZF5lIsynJoj8akpsLBv0gU_0_Ypkot-N03LrQ-aKLhxNx2nqtU87aC3xbK9SwG95cqLq3OuoqXoSJxng=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_sMVTfWHMHLNzz4uXz7sjo9h00G331VPXvHa1x9HU8avW-TwWDGZmUidxzZMrENEkIwycQBYxVtVFmJUVa3D_ClmHywBmSguumO-BITv2H8FO_Mc_uEwkzKElfFgbysXXqr4irAZjfd7WrjSxC9iQnunjs35RCFCjvvDDDV=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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