#include <stdio.h>
#include <math.h>
 
// 構造体の定義
typedef struct {
    int x;
    int y;
} Point;
 
// 点Aと線分BCの最短距離を計算する関数
double distance(Point A, Point B, Point C) {
    // 線分BCのベクトル
    double AB_x = C.x - B.x;
    double AB_y = C.y - B.y;
 
    // ベクトルの長さ
    double AB_length = sqrt(AB_x * AB_x + AB_y * AB_y);
 
    // 点Aから線分BCの最近接点までのベクトル
    double AP_x = A.x - B.x;
    double AP_y = A.y - B.y;
 
    // 線分BCに垂直な距離を計算
    double area = fabs(AB_x * AP_y - AB_y * AP_x);
    double distance = area / AB_length;
 
    return distance;
}
 
int main() {
    Point A, B, C;
 
    // ユーザーからの入力を受け取る
    printf("点Aの座標 (x y): ");
    scanf("%d %d", &A.x, &A.y);
 
    printf("点Bの座標 (x y): ");
    scanf("%d %d", &B.x, &B.y);
 
    printf("点Cの座標 (x y): ");
    scanf("%d %d", &C.x, &C.y);
 
    // 最短距離を計算
    double min_distance = distance(A, B, C);
 
    // 結果を表示
    printf("点Aと線分BCの最短距離: %.6f\n", min_distance);
 
    return 0;
}
 
 
 

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