Question

Question:Use the image to answer the question.Given is the right triangle $ABC$ with altitude $CD$. Apply the Pythagorean Theorem and similar triangles as needed to find the length of $\overline{AD}$. Round the answer to two decimal places.(1 point)Image Details:Altitude $\overline{CD}$ is labeled as 3 units.Segment $\overline{DB}$ is labeled as 4 units.Right angle symbols are at $\angle ACB$ and $\angle CDB$.Multiple Choice Options (Responses)( ) $3.75$( ) $5$( ) $2.25$( ) $7$

Answer 1

Using the altitude-to-hypotenuse relation (from the similar triangles), CD^2 = AD · DB. So

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

Answer: 2.25.