The concept of area in non-Euclidean geometries is different from that in Euclidean geometry. In Euclidean geometry, the area of a triangle is calculated by multiplying the length of any side times the corresponding height, and dividing the product by 2. However, in non-Euclidean geometries, the area of a triangle is proportional to the deficit of its angle sum from 180°. In hyperbolic geometry, the sum of the angles of a triangle is strictly less than a straight angle, and the difference between the measure of a straight angle and the sum of the measures of a triangle's angles is called the defect of the triangle. The area of a hyperbolic triangle is equal to its defect multiplied by the square of $R$. 

$R$ is a constant called the radius of curvature, which is related to the Gaussian curvature of the hyperbolic plane. The value of $R$ depends on the scale chosen for the hyperbolic plane, and if the curvature $K$ is assumed to be -1, then $R$ is equal to 1. Therefore, in hyperbolic geometry, the area of a triangle can be calculated using the formula: $Area = Defect \times R^2$.

Therefore, the formulas for finding the area of a triangle in Euclidean geometry may not be valid in non-Euclidean geometries. However, there are formulas for finding the area of a triangle in non-Euclidean geometries.
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