可内接半圆的最大三角形
给定一个半径为 r 的半圆，我们必须找到半圆中可以内接的最大三角形，底边位于直径上。 例:
Input: r = 5
Output: 25
Input: r = 8
Output: 64
逼近:从图中我们可以清楚的了解到半圆中可以内接的最大三角形有高度 r 。另外，我们知道底座有长度 2r 。所以三角形是等腰三角形。
所以，面积 A : =(基础高度)/2 = (2r * r)/2 = r^2*
以下是上述方式的实施 :
C++
// C++ Program to find the biggest triangle
// which can be inscribed within the semicircle
#include <bits/stdc++.h>
using namespace std;
// Function to find the area
// of the triangle
float trianglearea(float r)
{
// the radius cannot be negative
if (r < 0)
return -1;
// area of the triangle
return r * r;
}
// Driver code
int main()
{
float r = 5;
cout << trianglearea(r) << endl;
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java Program to find the biggest triangle
// which can be inscribed within the semicircle
import java.io.*;
class GFG {
// Function to find the area
// of the triangle
static float trianglearea(float r)
{
// the radius cannot be negative
if (r < 0)
return -1;
// area of the triangle
return r * r;
}
// Driver code
public static void main (String[] args) {
float r = 5;
System.out.println( trianglearea(r));
}
}
// This code is contributed
// by chandan_jnu.
Python 3
# Python 3 Program to find the biggest triangle
# which can be inscribed within the semicircle
# Function to find the area
# of the triangle
def trianglearea(r) :
# the radius cannot be negative
if r < 0 :
return -1
# area of the triangle
return r * r
# Driver Code
if __name__ == "__main__" :
r = 5
print(trianglearea(r))
# This code is contributed by ANKITRAI1
C
// C# Program to find the biggest
// triangle which can be inscribed
// within the semicircle
using System;
class GFG
{
// Function to find the area
// of the triangle
static float trianglearea(float r)
{
// the radius cannot be negative
if (r < 0)
return -1;
// area of the triangle
return r * r;
}
// Driver code
public static void Main ()
{
float r = 5;
Console.Write(trianglearea(r));
}
}
// This code is contributed
// by ChitraNayal
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP Program to find the biggest
// triangle which can be inscribed
// within the semicircle
// Function to find the area
// of the triangle
function trianglearea($r)
{
// the radius cannot be negative
if ($r < 0)
return -1;
// area of the triangle
return $r * $r;
}
// Driver code
$r = 5;
echo trianglearea($r);
// This code is contributed
// by inder_verma
?>
java 描述语言
<script>
// javascript Program to find the biggest triangle
// which can be inscribed within the semicircle
// Function to find the area
// of the triangle
function trianglearea(r)
{
// the radius cannot be negative
if (r < 0)
return -1;
// area of the triangle
return r * r;
}
// Driver code
var r = 5;
document.write( trianglearea(r));
// This code contributed by Princi Singh
</script>
Output:
25
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