Question

in figure DE//BC the value of x is​

Answer 1

Answer:

Hint: To find x, prove triangle ADE is similar to ABC by using the information that DE|| BC and then find out the value of x.

Step-by-step explanation:

Given a triangle ABC, De and E are the points of side of AB and AC respectively. Also,DE||BC.

Now in triangle ABC and ADE-

angleD =angle B (As DE || BC)

angle E = angle C(As DE || BC)

then, ∆ADE ~ ∆ABC

So, we can write that-

AD/AB = DE /BC {then, ∆ADE ~ ∆ABC}

Now from figure AD= 3cm,DE= 2cm, and BD=4cm

So, AB+DE +BD =3+4+7cm.

So, putting the value of AD,AB and DE we get-

3/7=2/x

=x=2/3×7=14/3=4.7

Hence, the value x is 4.7 cm.