Question

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

Answer 1

First we need to calculate the 2 angles that make up Angle B at the top of the triangle.
 Using that angle we can find the length of CD.


 See the attached picture:

Answer 2

Answer:

D. 26.

Step-by-step explanation:

We have been given an image of a triangle. We are asked to find the length of CD.

We will use altitude on hypotenuse theorem to solve our given problem.

$\frac{CD}{\text{Altitude}}=\frac{\text{Altitude}}{AC}$

Upon substituting our given values, we will get:

$\frac{CD}{37}=\frac{37}{53}$

$\frac{CD}{37}\times 37=\frac{37}{53}\times 37$

$CD=\frac{37\times 37}{53}$

$CD=\frac{1369}{53}$

$CD=25.830188679\approx 26$

Therefore, the length of CD is 26 units and option D is the correct choice.