In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC. I

Question

In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC. If

\frac{A D}{A B}

\frac{A E}{x}

, Then

x

is
___.

Answer:
:
In

△

ABC,
DE

∥

BC (Given)
Therefore,

\frac{A D}{A B}

\frac{A E}{A C}

[By Basic Proportionality Theorem]
Comparing the above with

\frac{A D}{A B}

\frac{A E}{x}

x

= AC

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