Question

In the following diagram,AB=26cm,BD=10cm and BC=42cm.Find AC.​

Answer 1

Answer:

in ️ABD,

AB = 26cm

BD= 10cm

AD= ?

by pythagoras theorem—

(AB)² = (AD)²+ (BD)²

(26)² = (AD)² + (10)²

676-100 = (AD)²

576 = (AD)²

AD = 24 cm

Step-by-step explanation:

as, we now know that,

in ️ADC,

AD= 24cm

DC = BC-BD

= 42 - 10

= 32 cm

again, by pythagoras theorem —

( AC)² = (AD)² + (DC)²

( AC)² = (24)² + (32)²

(AC)² = 576 + 1024

( AC)² = 1600

AC= 40 cm

Therefore, AC= 40 cm