Problem 56293. Heronian Triangles with Consecutive Integral Sides and Integral Area

David Hill

6 solvers

1 likes

Solve

Solve Later

Hero's area formula for any triangle with sides a, b, c is: .
Heronian triangles are triangles having integral sides and integral area. Find Heronian triangles with consecutive sides. For example, H(1) would have sides 3,4,5 with area 6. Output the sum of the digits of the nth Heronian triangle's area. S(1)=6.

Solve

Solution Stats

6 Solutions

Last Solution submitted on Jul 12, 2026

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers6

Suggested Problems

Solve the set of simultaneous linear equations

510 Solvers
Return the first and last characters of a character array

12300 Solvers
Set a diagonal

363 Solvers
Volume of a sphere given its surface area

155 Solvers
Implement a bubble sort technique and output the number of swaps required

398 Solvers

More from this Author65

Determine the kth Primitive Root of Unity

6 Solvers
RSA decryption

9 Solvers
Radioisotope Thermoelectric Generator (RTG)

5 Solvers
Find the Arc Length of the Curve Defined by the Parametric Functions

8 Solvers
Convert base 10 to base x (2-16)

4 Solvers

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!