To find the area of a triangle, you can use the formula:
Area = (1/2) * base * height
The distance between W and X in this instance serves as the triangle's base. You can determine this using the distance formula:Distance is equal to sqrt((x2 - x1) + (y2 - y1))Inputting the coordinates yields the following formula: distance = sqrt((6 - 2)2 + (3 - (-1))2).If we simplify, we get:distance equals sqrt(16 + 4).This reduces to: distance = square root (20)The triangle's base is therefore sqrt(20) units.The separation between the points Y and Z is the triangle's height. We may simplify the distance formula to distance = sqrt(4 + 4) by multiplying it by ((5 - 7)2 + (2 - 0)2).This reduces to: distance = square root (8)The triangle's height is therefore sqrt(8) units.Using the area formula with these values as inputs, we obtain:Area equals (1/2)*(20*)*(sqrt) (8) When we simplify, we get: Area.
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