- About MAA
- Membership
- MAA Publications
- Periodicals
- Blogs
- MAA Book Series
- MAA Press (an imprint of the AMS)
- MAA Notes
- MAA Reviews
- Mathematical Communication
- Information for Libraries
- Author Resources
- Advertise with MAA
- Meetings
- Competitions
- Programs
- Communities
- MAA Sections
- SIGMAA
- MAA Connect
- Students
- MAA Awards
- Awards Booklets
- Writing Awards
- Teaching Awards
- Service Awards
- Research Awards
- Lecture Awards
- Putnam Competition Individual and Team Winners
- D. E. Shaw Group AMC 8 Awards & Certificates
- Maryam Mirzakhani AMC 10 A Awards & Certificates
- Two Sigma AMC 10 B Awards & Certificates
- Jane Street AMC 12 A Awards & Certificates
- Akamai AMC 12 B Awards & Certificates
- High School Teachers
- News
You are here
Right Triangle
Given a right triangle where you know the length of the base and the sum of the perpendicular side and the hypotenuse, find expressions for the lengths of the perpendicular side and the hypotenuse.
Elements of Geometry, Horatio Robinson, 1865
Click here to reveal the answer
The answer is: if \(b\) is the base and \(s\) is the sum, the perpendicular side is \(\dfrac{s^2 - b^2}{2s}\) and the hypotenuse is \(\dfrac{s^2+b^2}{2s}\)
"Right Triangle," Convergence (February 2006)
