In the diagram below, cd is the perpendicular bisector of ab. if the length of ac is 13, what is the length of bc?

  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.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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