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Minimum height of a triangle with given base and area in C++
Description
Given two integers a and b, find the smallest possible height such that a triangle of atleast area ‘a’ and base ‘b’ can be formed.
Example
If a = 16 and b = 4 then minimum height would be 8
Algorithm
Area of triangle can be calculate using below formula −
area = ½ * height * base
Using above formula, height can be calculated as −
height = (2 * area) / base
So Minimum height is the ceil() of the height obtained using above formula.
Example
#include <iostream>
#include <cmath>
using namespace std;
float minHeight(int area, int base) {
return ceil((2 * area) / base);
}
int main() {
int area = 16, base = 4;
cout << "Minimum height = " << minHeight(area, base) << endl;
return 0;
}Output
When you compile and execute above program. It generates following output −
Minimum height = 8
Updated on: 22-Nov-2019
203 Views
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