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04-11-2019
Mathematics

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In the diagram below, CD is the perpendicular bisector of AB. If the length of AC is 13, what is the length of BC?

In the diagram below CD is the perpendicular bisector of AB If the length of AC is 13 what is the length of BC class=

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sqdancefan sqdancefan

04-11-2019

Answer:

BC = 13

Step-by-step explanation:

Triangle ACB is isosceles, so AC = BC = 13.

_____

The altitude is the perpendicular bisector of the base if and only if the triangle is isosceles. You can prove this, if necessary, by considering common side CD, corresponding angles CDA and CDB, and marked congruent sides DA and DB. These together make triangle CDA congruent to triangle CDB by the SAS postulate. Then CA is congruent to CB by CPCTC.

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someoneunknown10 someoneunknown10

22-01-2021

Answer: BC = 13

Step-by-step explanation:

Triangle ACB is isosceles, so AC = BC = 13.

Answer Link

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