Question

Use the image to answer the question.

Right triangle upper A upper C upper B with altitude upper C upper D.
▶Click for Long Desc

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

3.75
3.75

7
7

2.25
2.25
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Answer 1

Use the altitude-to-hypotenuse relation (from similar triangles): CD^2 = AD·DB.
So AD = CD^2 / DB = 3^2 / 4 = 9/4 = 2.25.