Question

5. In the given figure, DE || BC, AD= 3 cm and
AB= 8 cm. Then find AE: EC.
on
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Answer 1

$\Large{\underline{\underline{\bf{Solution :}}}}$

$\rule{200}{1}$

★ Given :

DE || BC

AD = 3 cm

BD = 8cm

$\rule{200}{1}$

★ To Find :

We have to find the value of AE : EC

$\rule{200}{1}$

★ Solution :

As, it is given that

DE || BC

So, A.T.Q

$\sf{→\frac{AD}{BD} = \frac{AE}{EC} \: \: \: \: \: \: \: \: \: (\because \: BPT)} \\ \\ \sf{→\frac{AE}{EC} = \frac{3}{8}} \\ \\ \sf{AE : EC = 3 : 8}$

So, AE : EC = 3 : 8

Answer 2

≛ Given That :-

• AD = 3 cm
• AB = 8 cm
• DE || BC

(For proper explaination refer to the attachment)

$\huge{\boxed{\mathfrak{\underline{\purple{</u></strong><strong><u>S</u></strong><strong><u>o</u></strong><strong><u>l</u></strong><strong><u>u</u></strong><strong><u>t</u></strong><strong><u>i</u></strong><strong><u>o</u></strong><strong><u>n</u></strong><strong><u>!}}}}}$

Now, according to BASIC PROPORTIONAL THEOREM.

➡️ $\frac{AD}{BD} = \frac{AE}{EC}$

➡️ $\frac{AE}{EC} = \frac{3}{8}$

➡️ AE : EC = 3 : 8 ans.

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