Question

Construct a line segment AB of length $10cm$. Draw perpendicular at point M on seg AB, such that $AM=4cm$. Take any point $N$ such that $MN=3cm$, on joining seg $AN$ we get :

• A. $AN=6cm$
• B. $AN=5cm$
• C. $AN=4cm$
• D. $AN=4.5cm$

Answer 1

Answer: (B)

$AN=5cm$

From figure: By Pythagoras Theorem,

$A{N}^2=M{N}^2+A{M}^2$

$A{N}^2=3^2+4^2=9+16=25$

$AN=5cm$