Question

Altitude upper C upper D is labeled as 3 units, and segment upper D upper B is labeled as 4 units. Right angle symbols are drawn at angle upper A upper C upper B and angle upper C upper D upper B.

Image Long DescriptionAltitude upper C upper D is labeled as 3 units, and segment upper D upper B is labeled as 4 units. Right angle symbols are drawn at angle upper A upper C upper B and angle upper C upper D upper B.

Given is the right triangle ABC
𝐴
𝐵
𝐶
with altitude CD
𝐶
𝐷
. Apply the Pythagorean Theorem and similar triangles as needed to find the length of  AD¯¯¯¯¯¯¯¯
𝐴
𝐷
¯
. Round the answer to two decimal places.

(1 point)
Responses

5
5

3.75
3.75

2.25
2.25

7

Answer 1

Use the altitude-to-hypotenuse relation: CD^2 = AD · DB. With CD = 3 and DB = 4,

9 = AD·4 ⇒ AD = 9/4 = 2.25.

Rounded to two decimals: 2.25.