Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=16AC=16 and DC=3,DC=3, what is the length of \overline{BC} BC in simplest radical form?

4√3

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of a triangle based on the legs (sides)

AC/BC = BC/DC

Given

AC = 16

DC = 3

Required

BC

Substitute the given values

16/BC = BC/3

Cross multiply

BC² = 16×3

BC² = 48

BC = √48

BC = √16×3

BC = 4√3

Hence the measure of BC is 4√3

here is your mark brainliest

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this