Question

In the figure, AB is tangent to circle C. Find the length of DB.​

Answer 1

The calculated length of the segment DB is 9 units

How to determine the length of the segment DB.​

From the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

AB is tangent to circle C.

This means that we can use the Pythagoras theorem

So, we have

(DB + 8)² = 8² + 15²

Evaluate

(DB + 8)² = 289

So, we have

DB + 8 = 17

This gives

DB = 9

Hence, the length of the segment DB is 9

Answer 2

8.5

Explanation:

First we need to get BC using the pythagoras theorem

BC² = AC² + AB²

BC² = 8² + 15²

BC² = 64+225

BC² = 289

BC = √289

BC = 17

DB = 1/2BC

DB = 1/2 * 17

DB = 8.5

Hence the length of DB is 8.5