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shutvik [7]
3 years ago
10

Given: AB tangent to circle O at B, and secant through point A intersect the circle at points C and D. Find CD, if

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

CD=7.5\ cm

Step-by-step explanation:

step 1

Find the value of AC

we know that

Applying the <u>Intersecting Secant-Tangent Theorem</u>

AB^{2}=AD*AC

we have

AB=5\ cm

AD=10\ cm

substitute the values and solve for AC

5^{2}=10*AC

AC=25/10=2.5\ cm

step 2

Find the value of CD

CD=AD-AC

substitute the values

CD=10-2.5=7.5\ cm

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