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A right triangle can have sides that are all integers. The set of three integer

ID: 653522 • Letter: A

Question

A right triangle can have sides that are all integers. The set of three integer values for the sides of a right triangle is called a Pythagorean triple. These three sides must satisfy the relationship that the sum of the squares of two of the sides is equal to the square of the third side (i.e., the hypotenuse).

Using the Design Recipe and the programming tools of your choice, write a C program that finds all Pythagorean triples for side1, side2, and the hypotenuse all no larger than a user-given limit

(see the Sample Runs below, and note the user input validation)

Thanks

Sample Run What's the limit of the side length (> )?5 Invalid input; try again What's the limit of the side length (> 0)? Invalid input; try again What's the limit of the side length (> )? 186 oK, let's find sone Pythagorean Triples! Woo Hoo! S 12 13 5 13 12 6 8 1e 6 1 7 24 25 7 25 24 8 6 1e 8 1 8 1517 8 17 15 9 12 15 9 15 12 9 40 41 9 41 4 10 10 10 24 26 18 26 24 11 68 61 11 61 e 12 5 13 12 9 15 12 13 5 12 15 9 12 16 20 12 2 16 12 35 37 12 37 35 13 5 12 13 12 5 13 84 95 13 85 94 14 48 50 14 50 49 15 8 17 15 9 12 15 12 9 15 17 8 15 2 25 15 25 20 15 36 39 15 39 36 16 12 2e

Explanation / Answer

#include int main(void){ int side1=1; int side2=1; int hypotenus=1; int till; int count=0; printf("Till what number do you want to find triplets?"); scanf("%d",&till); for(side1=1;side1
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