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3 years ago

Points B, D, and F are midpoints of the sides of triangle ACE. EC = 38 and DF = 16. Find AC. The diagram is not to scale.

Mathematics

2 answers:

Fudgin [204]3 years ago

7 0

You are correct. DF is half as long as AC since DF is the parallel midsegment to AC

AC = 2*DF
AC = 2*16
AC = 32

The info about EC = 38 is extra info most likely put in there to throw you off, or as a distraction.

IgorC [24]3 years ago

3 0

Answer: Yes, the answer 32 is correct.

Explanation: Since, According to the mid point theorem, the line segment connecting the midpoints of the two sides of a triangle is parallel to the third side and is half of the third side of triangle.

Here, FD is the line segment connecting to the midpoints F and D and it is parallel and half of the third side AC.

Thus, FD=AC/2⇒ AC=2FD

But, according to the question, FD=16 so, AC=2×16=32

Thus, AC=32 unit will be the answer.

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If you read the question, you will see that the options are missing. By Googling the question, the complete content could be found here:

https://www.chegg.com/homework-help/questions-and-answers/1-probability-distribution-random-variable--possible-values-random-variable-b-degree-varia-q27898607

The complete question is:

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The tangent function $y = \tan(x)$ has a real value for real inputs $x$ as long as the input $x \ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

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