Math, asked by shinayu2276, 1 day ago

In triangle DE parallel to BC .
If DE = 3cm , BC = 6cm and AE = 2cm find the length of AC

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Answers

Answered by sunitamaurya0510
1

Answer:

AC = 4cm

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Answered by shivambishal192
1

Answer:

The answer is 4cm.

Step-by-step explanation:

You can see that DE = 3cm =1/2 ×BC

This situation happens only if we conjoin the midpoints of the two other sides.

(additional theory: The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.) [this is the transversal and midpoint theorem]

Now as E is the the mid point of the side AC

Therefore, AC = 2×AE

= (2×2)cm

= 4cm.

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