In triangle DE parallel to BC .
If DE = 3cm , BC = 6cm and AE = 2cm find the length of AC
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Answer:
AC = 4cm
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Answered by
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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