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A Formulaic Approach: Building a Different Method for Calculating a Right Triangle’s Area Using the Hypotenuse and One Leg

Author

Listed:
  • Liera Niña V. Manginsay

    (Institute of Advanced Studies, Davao Del Norte State College, Davao City, Davao del Sur, Philippines)

  • Gretchen E. Ondayo

    (Institute of Advanced Studies, Davao Del Norte State College, Davao City, Davao del Sur, Philippines)

  • Sheilla May S. Engi

    (Institute of Advanced Studies, Davao Del Norte State College, Davao City, Davao del Sur, Philippines)

  • Professor Ronald S. Decano

    (Institute of Advanced Studies, Davao Del Norte State College, Davao City, Davao del Sur, Philippines)

Abstract

This study aims to address situations where the base or height is unclear by creating an innovative method to calculate the area of a right-angled triangle when only the hypotenuse and one leg are known. A new computational technique is proposed to determine the missing dimension necessary for an accurate area calculation by integrating the Pythagorean theorem with the conventional area formula. The resulting formula, , offers a simplified approach to a common geometric problem. This method serves as a valuable tool for math teachers, enhances conceptual understanding of geometric relationships, and establishes a solid foundation for further research aimed at improving geometry instruction in high schools.

Suggested Citation

  • Liera Niña V. Manginsay & Gretchen E. Ondayo & Sheilla May S. Engi & Professor Ronald S. Decano, 2025. "A Formulaic Approach: Building a Different Method for Calculating a Right Triangle’s Area Using the Hypotenuse and One Leg," International Journal of Research and Innovation in Social Science, International Journal of Research and Innovation in Social Science (IJRISS), vol. 9(5), pages 68-74, May.
    • Handle: RePEc:bcp:journl:v:9:y:2025:issue-5:p:68-74
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