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
with altitude CD
. Apply the Pythagorean Theorem and similar triangles as needed to find the length of  AD¯¯¯¯¯¯¯¯
. Round the answer to two decimal places.

(1 point)
Responses

5
5

7
7

2.25
2.25

3.75

Answer 1

Using the altitude-to-hypotenuse relation for a right triangle: CD^2 = AD·DB. With CD = 3 and DB = 4,

AD = CD^2 / DB = 3^2 / 4 = 9/4 = 2.25.

So AD = 2.25 (rounded to two decimal places).