Concept explainers
To calculate:The unknown segment of the given

Answer to Problem 32RP
The measure of required segment =
Explanation of Solution
Given information:
E and F are midpoints of AC and BC
AF=
Formula used:
Midpoint Theorem
Pythagoras Theorem
Calculation :
On using Pythagoras theorem, we have
In triangle AFC, we have
In triangle BEC., we have
On adding (i) and (ii), we get
Because, in triangle ECF, we have
And in triangle ACB, we have
Now, given E and F are the midpoints of AC and BC
On using midpoint theorem, we have
From eq 9iii), we have
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