Question

In the diagram, AB = BC and BF = FE. If CD =38, what is DE? ​

Answer 1

Answer:

19 cm

Step-by-step explanation:

let the mid point of CD = G

join B and G thus BG is parallel to AD

CG = 38/2 = 19 cm = BG

thus , AD = BG × 2 = 19× 2 = 38

now Join AG

AG = √[38^2 - 19^2] = 32.9 ~ 33 cm

AC = √[33^2+19^2] = 38 cm

AB = 38/2 = 19 cm

since BF = FE & AB = BC

therefore DE = AB = 19 cm