Java. One common addition to the triangle problem is to check for right triangles. Three sides constitute a right triangle if the Pythagorean relationship is satisfied: c^2 = a^2 + b^2. This change makes it convenient to require that the sides be presented in increasing order, i.e., a <= b <= c. Extend public static int triangle3 to include the right triangle feature.

public class Triangle { public static final int OUT_OF_RANGE = -2; public static final int INVALID = -1; public static final int SCALENE = 0; public static final int ISOSELES = 1; public static final int EQUILATERAL = 2; public static int triangle(int a, int b, int c) { boolean c1, c2, c3, isATriangle; // Step 1: Validate Input c1 = (1 <= a) && (a <= 200); c2 = (1 <= b) && (b <= 200); c3 = (1 <= c) && (c <= 200); int triangleType = INVALID; if (!c1 || !c2 || !c3) triangleType = OUT_OF_RANGE; else { // Step 2: Is A Triangle? if ((a < b + c) && (b < a + c) && (c < a + b)) isATriangle = true; else isATriangle = false;

// Step 3: Determine Triangle Type if (isATriangle) { if ((a == b) && (b == c)) triangleType = EQUILATERAL; else if ((a != b) && (a != c) && (b != c)) triangleType = SCALENE; else triangleType = ISOSELES; } else triangleType = INVALID; } return triangleType; } }

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