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

In the figure, AB is tangent to circle C. Find the length of DB.​-example-1

2 Answers

4 votes

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

User Mojtaba Arvin
by
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5 votes

Answer:

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

User Mynameisdaniil
by
4.6k points