This program will take 3 side lengths input by a user and then determine if those sides can form a triangle. The Triangle Inequality Theorem states that the sum of any two side lengths in a triangle must be greater than the third side.
If the three sides can form a triangle, the triangle will be classified as acute (all three angles are less than 90 degrees), right (one of the angles is 90 degrees, the other two are acute (and complementary), or obtuse (one of the angles is greater than 90 degrees and the other two are acute. The Pythagorean Theorem states that in a right triangle, the square of the longest side (the hypotenuse) is equal to the sum of the squares of the other two sides. If the longest side squared is bigger than the sum of the squares of the other two sides (i.e. bigger than it needs to be to make a right triangle), then the triangle must be obtuse. If the longest side squared is smaller than the sum of the squares of the other two sides (i.e. smaller than it needs to be to make a right triangle), then the triangle must be acute. If the longest side squared is equal to the sum of the squares of the other two sides, then the triangle must be a right triangle.
This program is written in JavaScript.
By Mr. C. January, 2020
To check your answers, or to get more ideas to program, visit:
Triangle-calculator.com