The measure of the length of BC from the expression is 8
Addition postulate
The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.
Given the following segments
AB = 7
AD = 25 and:
CD = 10
Using the addition postulate below:
AB+BC+CD = AD
Substitute the given parameters
7+BC+10 = 25
17+BC = 25
Subtract 17 from both sides
17+BC-17 = 25 - 17
BC = 8
Hence the measure of the length of BC from the expression is 8
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