Question

Abc is a triangle with de parallel to bc . If ad= 2 cm and bd= 4 cm then find the value of de:bc

Answer 1

In triangle ADE and triangle ABC,

angle ADE=angle ABC [Corresponding angle ]
angle AED=angle ACB [Corresponding angle]
Therefore triangle ADE ~ triangle ABC

Thus,
AD/AB=DE/BC[in similar triangles ratio of corresponding sides are equal]
=>DE/BC=AD/(AD+BD)
=>DE/BC=2/(2+4)=2/6=1/3

Hope this helps; )

Answer 2

Answer:

Answer: 1:3

Step-by-step explanation:

Triangle ADE is similar to triangle ABC ( by aa similarity criteria ) ( DE is parallel to BC )

AD/AB = DE/BC (cpst)

2/6 = DE/BC ( AB = AD+BD = 2 + 4 = 6 )

1/3 = DE/BC

therefore , DE:BC = 1:3

MARK THIS ANSWER AS BRAINLIEST AND MAKE IT AS A VERIFIED ANSWER!!!!