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.
[tex]\frac{CD}{\text{Altitude}}=\frac{\text{Altitude}}{AC}[/tex]
Upon substituting our given values, we will get:
[tex]\frac{CD}{37}=\frac{37}{53}[/tex]
[tex]\frac{CD}{37}\times 37=\frac{37}{53}\times 37[/tex]
[tex]CD=\frac{37\times 37}{53}[/tex]
[tex]CD=\frac{1369}{53}[/tex]
[tex]CD=25.830188679\approx 26[/tex]
Therefore, the length of CD is 26 units and option D is the correct choice.
