Answer: 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