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Find the length EC

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answer is D.

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Detailed Solution

Concept- For the third unknown length of the other triangle, we will use the fundamental concept of similar triangles and the ratio of the given two sides. Enter the value and calculate the scale factor.
Here, triangles

and

are similar.
A corresponds to

corresponds to

, and

corresponds to

.
Let’s the scale factor:
As because

and

, the scale factor is found by dividing

Scale factor

That is, the second triangle is 2 times as large as the first.
Now, we can use the same scale factor to find the length of

Hence, the correct answer is option 4) 10.

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