Learn How to Calculate Cevian Triangle Length - Tutorial

This tutorial will help you to calculate length of cevian in a triangle using Stewart's theorem.

Formula

d = √(b²m + c²n - amn) / a

Where,

a = m + n a,m,n,b,c are sides of triangle d = length of cevian

Example

Find the length of the cevian (d). Units are in centimeters (cm).

Given,

n = 5 cm m = 6 cm b = 8 cm c = 7 cm

To Find,

Length of cevian (d)

Solution :

Step 1 :

a = m + n a = 6 + 5 a = 11 cm

Step 2 :

√(b²m + c²n - amn) / a √((8² x 6) + (7² x 5) - (11 x 5 x 6)) / 11 √(384 + 245 - 330) / 11 √299 / 11 √27.18182 5.214 cm