Classify a triangle - GeeksforGeeks
We are given co-ordinates of a triangle. The task is to classify this triangle on basis of sides and angle.
We can solve this problem by first calculating the side length and then classifying on comparing of side lengths. Classification by sides is simple, if all sides are equal, triangle will be equilateral, if any two sides are equal triangle will be Isosceles otherwise it will be Scalene.
Now angle can be classified by Pythagoras theorem, if sum of square of two sides is equal to square of third side, triangle will be right angle, if less triangle will be acute angle else it will be obtuse angle triangle.
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We are given co-ordinates of a triangle. The task is to classify this triangle on basis of sides and angle.
We can solve this problem by first calculating the side length and then classifying on comparing of side lengths. Classification by sides is simple, if all sides are equal, triangle will be equilateral, if any two sides are equal triangle will be Isosceles otherwise it will be Scalene.
Now angle can be classified by Pythagoras theorem, if sum of square of two sides is equal to square of third side, triangle will be right angle, if less triangle will be acute angle else it will be obtuse angle triangle.
struct point{ int x, y; point() {} point(int x, int y) : x(x), y(y) {}};// Utility method to return square of xint square(int x){ return x * x;}// Utility method to sort a, b, c; after this// method a <= b <= cvoid order(int &a, int &b, int &c){ int copy[3]; copy[0] = a; copy[1] = b; copy[2] = c; sort(copy, copy + 3); a = copy[0]; b = copy[1]; c = copy[2];}// Utility method to return Square of distance// between two pointsint euclidDistSquare(point p1, point p2){ return square(p1.x - p2.x) + square(p1.y - p2.y);}// Method to classify sidestring getSideClassification(int a, int b, int c){ // if all sides are equal if (a == b && b == c) return "Equilateral"; // if any two sides are equal else if (a == b || b == c) return "Isosceles"; else return "Scalene";}// Method to classify anglestring getAngleClassification(int a, int b, int c){ // If addition of sum of square of two side // is less, then acute if (a + b > c) return "acute"; // by pythagoras theorem else if (a + b == c) return "right"; else return "obtuse";}// Method to classify triangle by sides and anglesvoid classifyTriangle(point p1, point p2, point p3){ // Find squares of distances between points int a = euclidDistSquare(p1, p2); int b = euclidDistSquare(p1, p3); int c = euclidDistSquare(p2, p3); // Sort all squares of distances in increasing order order(a, b, c); cout << "Triangle is " + getAngleClassification(a, b, c) + " and " + getSideClassification(a, b, c) << endl;}