Question

DF is the altitude to the hypotenuse EC. What is the length of DE?

Select the best answer from the choices provided.
A. 3
B. 6
C.12
D. 24

Answer 1

D

Explanation:

Using the Altitude- on- hypotenuse theorem

DF² = CD × DE , substitute values

12² = 6 DE

144 = 6 DE ( divide both sides by 6 )

24 = DE → D