Question

State true or false.

In the figure $ABC$ is a triangle in which AD $\perp BC$, then$AB+AC<2AD$.

• A. True
• B. False

Answer 1

The correct option is B False

Given : $AD$ is perpendicular on $BC.$

In $\Delta ABD,$

$AB>AD------I$

In $\Delta ACD,$

$AC>AD-----II$

Adding $I$ and $II,$

$AB+AC>AD+AD$

$AB+AC>2AD$

The given statement is false.