8. In right $\triangle A B C, C D$ is the altitude to hypotenuse $A B$. If $A C=12$ and $A D=5$, find $D B$.
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Final Answer: $DB = \boxed{\frac{25}{12}}$

Steps

Step 1 ：Given a right triangle ABC, with CD as the altitude to the hypotenuse AB. The lengths of AC and AD are given as 12 and 5 respectively. We are asked to find the length of DB.

Step 2 ：In a right triangle, the length of the altitude to the hypotenuse is the geometric mean of the lengths of the two segments of the hypotenuse. This gives us the equation $AD^2 = AC * DB$.

Step 3 ：Substituting the given values into the equation, we get $5^2 = 12 * DB$.

Step 4 ：Solving for DB, we get $DB = \frac{25}{12}$.

Step 5 ：Final Answer: $DB = \boxed{\frac{25}{12}}$

8. In right $\triangle A B C, C D$ is the altitude to hypotenuse $A B$. If $A C=12$ and $A D=5$, find $D B$.12

Answer

Popular Problems

8. In right $\triangle A B C, C D$ is the altitude to hypotenuse $A B$. If $A C=12$ and $A D=5$, find $D B$.
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