Question

all the measurements are already given find CD.​

Answer 1

Answer:

let CD = x cm

in triangle ACD

(AD) ² = (AC) ²- (CD) ² = 6²-x².......................1

in triangle ABD

(AD) ²= (AB) ²- (BD) ² = 16²- (12+x) ²... .. .. .. .. . 2

from 1 &2

6²-x² = 16² - (12+x) ²

36-x² = 256- ( 144+x²+24x)

36-x² = 256- 144-x²-24x

36-x²= 112-x²-24x

cancel x² from both sides

36=112-24x

24x= 112-36

24x=76

x=76

24

x=4

so CD = 4 cm