- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Draw five triangles and measure their sides. Check in each case, if the sum of the lengths of any two sides is always less than the third side.

To do:

We have to draw five triangles and measure their sides.

Solution:

In triangle PQR

$PQ = 3\ cm$

$QR = 4\ cm$

$PR = 6\ cm$

$PQ + QR = 3\ cm + 4\ cm$

$= 7\ cm$

Here, $7 > 6$

Therefore,

$PQ + QR > PR$

Hence, the sum of any two sides of a triangle is greater than the third side.

In triangle GEF

$GE = 4\ cm$

$EF = 5\ cm$

$GF = 8\ cm$

$GE + EF = 4\ cm + 5\ cm$

$= 9\ cm$

Here, $9 > 8$

Therefore,

$GE + EF > GF$

Hence, the sum of any two sides of a triangle is greater than the third side.

In triangle ABC

$AB = 3\ cm$

$BC = 4\ cm$

$AC = 5\ cm$

$AB + BC = 3\ cm + 4\ cm$

$= 7\ cm$

Here, $7 > 5$

Therefore,

$AB + BC > AC$

Hence, the sum of any two sides of a triangle is greater than the third side.

In triangle XYZ

$XY = 6\ cm$

$XZ = 7\ cm$

$YZ = 9\ cm$

$XY + XZ = 6\ cm + 7\ cm$

$= 13\ cm$

Here, $13 > 9$

Therefore,

$XY + XZ > YZ$

Hence, the sum of any two sides of a triangle is greater than the third side.

In triangle MNS

$MN = 2\ cm$

$NS = 3\ cm$

$MS = 4\ cm$

$MN + NS = 2\ cm + 3\ cm$

$= 5\ cm$

Here, $5 > 4$

Therefore,

$MN + NS > MS$

Hence, the sum of any two sides of a triangle is greater than the third side.

- Related Questions & Answers
- Area of the circumcircle of any triangles with sides given in C++
- C++ program to find the Area of the circumcircle of any triangles with sides given?
- Check if frequency of each digit is less than the digit in Python
- Python Pandas - Check if an interval is empty if closed from the both sides
- Check if the frequency of any character is more than half the length of the string in Python
- Find area of triangle if two vectors of two adjacent sides are given using C++
- Program to find the sum of the lengths of two nonoverlapping sublists whose sum is given in Python
- Find area of parallelogram if vectors of two adjacent sides are given using C++.
- Maximize volume of cuboid with given sum of sides in C++
- Find the hypotenuse of a right angled triangle with given two sides in C++
- What according to you are the good and bad sides of the #MeToo movement?
- Why are all the deserts located on the western sides of the continents?
- Check whether triangle is valid or not if sides are given in Python
- Sum of two elements just less than n in JavaScript
- Check if bitwise AND of any subset is power of two in Python
- Check if any value in an R vector is greater than or less than a certain value.