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

Remove any row in which a NaN appears

8790 Solvers
De-dupe

3952 Solvers
surface of a spherical planet

997 Solvers
Calculate the area of a triangle between three points

3538 Solvers
Self-similarity 2 - Every third term

67 Solvers

More from this Author65

Determine Fundamental Solution of Pell Equation

4 Solvers
Find R*Rp-N*Np=1 given gcd(R,N)=1

16 Solvers
Multiply Large Hexadecimal Numbers

7 Solvers
Sum of Consecutive Positive Integers Equals Product of Limiting Values

6 Solvers
Mask Generation Function (MGF1) for PKCS #1 Standard utilizing Optimal Asymmetric Encryption Padding for RSA Cryptography

5 Solvers

Problem Tags

Community Treasure Hunt

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

Start Hunting!