triangle – Six Triangle Types (challenge) – Computer Science by Example

triangle – Six Triangle Types (challenge)

Every triangle can be classified as either scalene, isosceles or equilateral:

equilateral triangles have all edges of the same size;
isosceles triangles have exactly two edges of the same size;
scanele triangles have three edges of different sizes.

(Some authors consider equilateral to be a special case of isosceles. For the purpose of this exercise, we use Euclid’s original definition and consider isosceles triangles those with exactly two edges of the same size.)

triangle types: scalene, isosceles, equilateral, impossible

All triangles can also be classified as right, obtuse and accute:

obtuse triangles have one greater than 90° angle;
right triangles have a 90° angle;
acute triangles have three less than 90° angles.

triangle angle types: obtuse, right, acute

Write a program that given three edge sizes determines:

whether a triangle is scalene, isosceles or equilateral; and
whether a triangle is right, obtuse or acute; or
if the triangle is impossible.

Input and Output

Input consists of a several lines, each with three natural numbers x, y and z where

0 < x, y, z < 10 000

For each line of input, output should contain a line indicating both classifications or impossible.

Example input

Example output

scalene right
isosceles acute
scalene obtuse
equilateral acute
impossible

Scoring

1/5: works for the above example but produces output in an incorrect format
2/5: works for the above example and produces output in the correct format
4/5: works for other test cases
5/5: works for edge cases

try first: triangle1

try next: calc

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