Why Is My solution to Rule of the Triangle not working?

Question about the task

Rule of the triangle

Java Syntax, Level 4, Lesson 4

Under discussion

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Use the keyboard to enter three numbers a, b, and c (the lengths of the sides of the proposed triangle).
Determine whether a triangle with these sides can exist.
Display the result as follows:
"The triangle is possible." - if a triangle with these sides could exist.
"The triangle is not possible." - if a triangle with these sides cannot exist.

Hint:
A triangle can exist only if the sum of two of its sides is greater than the third side.
You need to compare each side with the sum of the other two.
If even one side is larger or equal to the sum of the other two sides, then no such triangle exists.

Requirements:

The program should read three numbers from the keyboard.
The program should display text on the screen according to the task conditions.
If a triangle with the specified sides could exist, you need to display: "The triangle is possible."
If a triangle with the specified sides cannot exist, you need to display: "The triangle is not possible."

package com.codegym.task.task04.task0415; /* Rule of the triangle */ import java.io.*; public class Solution { public static void main(String[] args) throws Exception { BufferedReader reader = new BufferedReader(new InputStreamReader(System.in)); int side1 = Integer.parseInt(reader.readLine()); int side2 = Integer.parseInt(reader.readLine()); int side3 = Integer.parseInt(reader.readLine()); if(side1 + side2 > side3) { if(side2 + side3 > side1) { if(side3 + side1 > side2) { System.out.println("The triangle is possible."); } } } else { System.out.println("The triangle is not possible."); } } }

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Nouser

Level 36 , Germany

13 February 2021, 08:01

In the if clauses you take care of all the cases when two sides are bigger than the third side. Now in the else clauses it's getting difficult.

if(a + b > c) {
    if(b + c > a) {
        if(a + c > b) {
            //triangle is possible, all clauses are true
        } // if you write an else here, then it's the negation of all this three clauses above
    } // if you spare out the above else, then you negate just the two outer if clauses
} // if you spare out the above else clauses, then you negate just the outer if

Means, if you place the else matching the first if, then all the if clauses match, but not the negation of the two inner if clauses. => that else is checking this !(a + b > c) && !(b + c > a) && !(a + c > b) && a + b <= c and what is missing is b + c == a and a + c == b I have no clue how to describe that in an easier way ;)