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_t2PXZ3I_Wa9GpdPDx63gE4DhDNpA1jzsQqcl3DYLbZ8GE6OX23eQJtdyGf6bCqmZ09WWmr0cASl_B29aePNr_g20Rqu_YpUBDQSvWziaSzQ3poD7BdyMyDQ9u1f-fvG5T0FEqPcFLTYPKwBAB0ZYk2WU3fDTkKGuhgX78HhQ=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_vp8Di7WbVSSzBERD8l4Yu37ekHVeYyhtf6aQNKUeCGwLMWEbUEA3dxsPZEDPYZboR98bDxzUIH6gWCMpw0zvkG1LX_NwVETvTq0J4Punw10sSSlLBh1dy4DFgNqXEMMdAxp9Ist4Cu0IbFyCjcMvfMyPNRYNgBkHEqq9fL=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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