What is the length of segment BD

 The length of BD is 2.4

Step-by-step explanation:  BD is a leg of a right triangle, so use the

Pythagorean Theorem  a² + b² = c²  

BC is the hypotenuse here, so that is c = 3

We can use the segment CD as side b = 1.8

We will call BD side a, and solve to find that length.

a² + (1.8)² = 3²   Square the known values of b and c

 a² + 3.24 = 9     Subtract 3.24 from both sides.

a² = 9 - 3.24     Simplify

a²  =  5.76          Find the square root of both sides (Calculator time!)

a = 2.4

one that is bigger than 3 1/2

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