👤

what is the lenght of AC?​

What Is The Lenght Of AC class=

Sagot :

Answer:

ABCD is a rectangle with length AB= 8

cm and breadth AD= 2cm

2cmSince opposite sides of rectangle are equal

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

Now each angle in a rectangle is at 90 o

each angle in a rectangle is at 90 o

each angle in a rectangle is at 90 o ⇒∠DCB=∠CBA=∠BAD=

∠ADC=90 o

∠ADC=90 o

∠ADC=90 o Now In ΔCAB

∠ADC=90 o Now In ΔCABAC is the hypotenuse, AB is the base and CB is the altitude by Pythagoras theorem.

∠ADC=90 o Now In ΔCABAC is the hypotenuse, AB is the base and CB is the altitude by Pythagoras theorem.(AC) 2 =(CB) 2+(AB) 2

∠ADC=90 o Now In ΔCABAC is the hypotenuse, AB is the base and CB is the altitude by Pythagoras theorem.(AC) 2 =(CB) 2+(AB) 2

∠ADC=90 o Now In ΔCABAC 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

) 2

) 2 (AC) 2 =2+8

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

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