Learn How to Calculate Cevian Triangle Length - Tutorial

How to Calculate Cevian Triangle Length - Tutorial, Formula, Example

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

Formula

Cevian Triangle d = (b2m + c2n - amn) / a
Where,
a = m + n a,m,n,b,c are sides of triangle d = length of cevian

Example

Cevian Triangle 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

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