What is the length of ac

By John
1 Min Read

Solution

ABCD is a rectangle with length AB=
8

cm and breadth AD=
2

cm
Since opposite sides of rectangle are equal
⇒AD=BC=
2

cm
Now each angle in a rectangle is at 90
o

⇒∠DCB=∠CBA=∠BAD=∠ADC=90
o

Now In ΔCAB
AC is the hypotenuse, AB is the base and CB is the altitude by Pythagoras theorem.
(AC)
2
=(CB)
2
+(AB)
2

(AC)
2
=(
2

)
2
+(
8

)
2

(AC)
2
=2+8
(AC)
2
=10
AC=
10

cm.