In the diagram below, BC is an altitude of AABD. To the nearest whole unit, what is the length of CD?

C

Step-by-step explanation:

Using the Pythagorean theorem, find BA:

Making BC = x, find the lenth of BD:

Since DBA is a right triangle, this follows:

Substitute:

Expand:

Solve: 106x = 2736

Finally: x ≈ 25.8 ≈ 26

Therefore: C

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b