Question

Class-10th
Chapter-Triangles
If in ∆ABC,D and E are point on side AB and AC respectively such that DE||BC. If AE=2cm, if AD=3cm and BD=4.5cm, then find CE.

Answer 1

Answer:

Given - A ∆ABC which has two points D and E on its side AB and AC such that DE||BC.

AE=2cm

AD=3cm

BD=4.5cm

To find - CE=?

Solution - In ∆ ABC , we have

DE||BC

Then , AD/BD = AE/ CE. ( according to thale's theorem)

3/4.5 = 2/ CE

CE = 2×4.5/3

CE = 9/3

CE = 3 cm

Answer 2

Step-by-step explanation:

Answer:-

_________

$\frac{ad}{bd} = \frac{ae}{ce } \\ \frac{3}{4.5} = \frac{2}{ce } \\ ce = \frac{4.5 \times 2}{3} = \frac{9}{3} = 3$

CE=3cm