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Sagot :
The length of the CD is 15.354 cm
As we know that a perpendicular bisector divides a line segment into 2 equal halves and makes a right angle with the line.
Here, the CD is the perpendicular bisector of AB.
Now from the above definition, we can classify that
AD = BD = 9/2 cm
= 4.5 cm
Also,
ΔACD is a right-angled triangle
According to the Pythagoras theorem for any right-angled triangle
length² + base² = hypotenuse²
In the given triangle,
length = CD
Base = AD
hypotenuse = AC
Hence we get
CD² + 4.5² = 16²
or, CD² + 20.25 = 256
or, CD² = 235.75
or, CD = √235.75
or, CD = 15.354
To know more about perpendicular bisectors visit
https://brainly.com/question/25963757
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