Question

In triangle ABC, AB=8cm BC=10cm and AC=12cm if AD is the length of the median drown to BC. Find the length of AD ?

• A. √79
• B. √60
• C. √55
• D. √65

Answer 1

Answer:

A. √79

AB^2+AC^2=2(AD^2+BD^2)

$8^2+12^2=2[x^2+25]$

$64+144=2x^2+50$

$208=2x^2+50$

$2x^2=158$

$x^2=158/2=79$

$x=\sqrt{79}$