Question

DE is parallel to BC in triangle ABC, such that BC=8cm, AB=6cm and DA=1.5cm. Find DE

Answer 1

Answer:

DE = 8 cm

Step-by-step explanation:

Hi,

Given ABC a triangle, in which

BC = 8 cm

AB = 6 cm

DA = 1.5 cm

and given that DE is parallel to BC.

Now consider triangles, ADE and ABC

∠ADE = ∠ABC (Since BC || DE)

∠DEA = ∠BCA (Since BC || DE)

∠EAD = ∠CAB (Same Angles)

Hence, both the triangles are similar,

Hence , both the triangles will have their sides proportional to each other

i.e., AD/AB = AE/AC = DE/BC

Considering AD/AB = DE/BC

we have 1.5/6 = DE/8

⇒ DE = 2 cm

Hope, it helped !

Answer 2

Step-by-step explanation:

hope this helps you.