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

Liera Niña V. Manginsay, Gretchen E. Ondayo, Sheilla May S. Engi and Professor Ronald S. Decano
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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

International Journal of Research and Innovation in Social Science, 2025, vol. 9, issue 5, 68-74

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.

Date: 2025
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