If in triangle ABC, DE || BC and AD/DB = $\frac{1}{2}$,... - Trigonometry MCQ Solution

If in triangle ABC, DE || BC and AD/DB = $\frac{1}{2}$, and AE = 5 cm, then EC is:

If in triangle ABC, DE || BC and AD/DB = $\frac{1}{2}$, and AE = 5 cm, then EC is:
यदि त्रिभुज ABC में, DE || BC और AD/DB = $\frac{1}{2}$, और AE = 5 सेमी, तो EC हैः

2.5 cm / सेमी 5 cm / सेमी 10 cm / सेमी 7.5 cm / सेमी

Detailed Solution & Logic

Correct Answer:

10 cm / सेमी

By the Basic Proportionality Theorem (Thales’ theorem):
$\frac{AD}{DB}=\frac{AE}{EC} $
Given:
$ \frac{AE}{EC} =\frac{1}{2}, $ and AE=5 cm
$ \frac{5}{EC}=\frac{1}{2} $
EC=10 cm

If in triangle ABC, DE || BC and AD/DB = \(\frac{1}{2}\), and AE = 5 cm, then EC is:

Detailed Solution & Logic

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If in triangle ABC, DE || BC and AD/DB = \(\frac{1}{2}\), and AE = 5 cm, then EC is:

Detailed Solution & Logic

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