Question

in an equilateral triangle is AN is perpendicular to BC then prove an² = 3bn¹​

Answer 1

If AN perpendicular...

AN ² + BN ² = AB ²

AN ² = AB ² - BN ²

AB = 2 BN

AN ² = 2 BN ² - BN ²

AN ² = 4 BN ² - BN ²

AN ² = 3 BN ²