diff --git a/runelite-api/src/main/java/net/runelite/api/model/Triangle.java b/runelite-api/src/main/java/net/runelite/api/model/Triangle.java
index b05c201c06..161bf01b2e 100644
--- a/runelite-api/src/main/java/net/runelite/api/model/Triangle.java
+++ b/runelite-api/src/main/java/net/runelite/api/model/Triangle.java
@@ -24,6 +24,8 @@
  */
 package net.runelite.api.model;
 
+import java.util.Objects;
+
 public class Triangle
 {
 	private final Vertex a;
@@ -43,6 +45,43 @@ public class Triangle
 		return "Triangle{" + "a=" + a + ", b=" + b + ", c=" + c + '}';
 	}
 
+	@Override
+	public int hashCode()
+	{
+		int hash = 7;
+		hash = 13 * hash + Objects.hashCode(this.a);
+		hash = 13 * hash + Objects.hashCode(this.b);
+		hash = 13 * hash + Objects.hashCode(this.c);
+		return hash;
+	}
+
+	@Override
+	public boolean equals(Object obj)
+	{
+		if (obj == null)
+		{
+			return false;
+		}
+		if (getClass() != obj.getClass())
+		{
+			return false;
+		}
+		final Triangle other = (Triangle) obj;
+		if (!Objects.equals(this.a, other.a))
+		{
+			return false;
+		}
+		if (!Objects.equals(this.b, other.b))
+		{
+			return false;
+		}
+		if (!Objects.equals(this.c, other.c))
+		{
+			return false;
+		}
+		return true;
+	}
+
 	public Vertex getA()
 	{
 		return a;
diff --git a/runelite-api/src/main/java/net/runelite/api/model/Vertex.java b/runelite-api/src/main/java/net/runelite/api/model/Vertex.java
index 8f7210e2e9..c4d8c05cc4 100644
--- a/runelite-api/src/main/java/net/runelite/api/model/Vertex.java
+++ b/runelite-api/src/main/java/net/runelite/api/model/Vertex.java
@@ -43,6 +43,43 @@ public class Vertex
 		return "Vertex{" + "x=" + x + ", y=" + y + ", z=" + z + '}';
 	}
 
+	@Override
+	public int hashCode()
+	{
+		int hash = 7;
+		hash = 67 * hash + this.x;
+		hash = 67 * hash + this.y;
+		hash = 67 * hash + this.z;
+		return hash;
+	}
+
+	@Override
+	public boolean equals(Object obj)
+	{
+		if (obj == null)
+		{
+			return false;
+		}
+		if (getClass() != obj.getClass())
+		{
+			return false;
+		}
+		final Vertex other = (Vertex) obj;
+		if (this.x != other.x)
+		{
+			return false;
+		}
+		if (this.y != other.y)
+		{
+			return false;
+		}
+		if (this.z != other.z)
+		{
+			return false;
+		}
+		return true;
+	}
+
 	public int getX()
 	{
 		return x;