In-Home & Online Tutoring

Get Math Help

Demo 1 / Get Math Help

Erdős-Mordell Inequality

Statement

The Erdős-Mordell theorem states that if P is a pedal point inside a triangle ΔABC and P_A, P_B, and P_C are the feet of the perpendiculars from P upon the respective sides BC, CA, and AB, then PA + PB + PC>=2(PP_A + PP_B + PP_C).

Alternate name

Erdős-Mordell inequality

History

formulation date | 1935 (90 years ago)
formulator | Paul Erdős
status | proved
proof date | 1937 (2 years later) (88 years ago)
provers | Louis Joel Mordell | David Francis Barrow
additional people involved | Donat Kazarinoff | Leon Bankoff

Associated equation

PA + PB + PC>=2(PP_A + PP_B + PP_C)

Current evidence

Elementary proofs were obtained by Kazarinoff and Bankoff.

Classes

solved mathematics problems | mathematics theorems

Why Club Z!?

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu.

OUR PURPOSE

We tutor you in the subjects you need to help you progress.

Pre-K Reading Writing Math Science Studdy Skills

Subjects We Tutor

What Is Domain In Math

What Is Domain In Math ‘

What Is Domain In Math

What Is Domain In Math ‘

Volume of a Sphere

Volume of a Sphere ‘

Area of a Triangle

Area of a Triangle ‘

Distance Formula

Distance Formula ‘

Distance Formula

Distance Formula ‘

Volume of a Cylinder

Volume of a Cylinder ‘

Find the right fit or it’s free.

Club Z! Guarantee In Home Tutors & Online Tutors

We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.