lightoj--1043--Triangle Partitioning(水题)
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Description
See the picture below.
You are given AB, AC and BC.DE is parallel to BC. You are also given the area ratio betweenADE and BDEC. You have to find the value of AD.
Input
Input starts with an integer T (≤ 25), denoting the number of test cases.
Each case begins with four real numbers denoting AB, AC, BC and the ratio ofADE and BDEC(ADE / BDEC). You can safely assume that the given triangle is a valid triangle with positive area.
Output
For each case of input you have to print the case number and AD. Errors less than10-6 will be ignored.
Sample Input
4
100 100 100 2
10 12 14 1
7 8 9 10
8.134 9.098 7.123 5.10
Sample Output
Case 1: 81.6496580
Case 2: 7.07106781
Case 3: 6.6742381247
Case 4: 7.437454786
Source
现在给出了AB,AC,BC以及三角形与梯形面积比值,求AD
#include<stdio.h>#include<string.h>#include<math.h>int main(){int t;int K=1;scanf("%d",&t);while(t--){double a,b,c,k;scanf("%lf%lf%lf%lf",&a,&b,&c,&k);double ad=a*sqrt(k/(1+k));printf("Case %d: %.6lf\n",K++,ad);}return 0;}
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