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Given: SI=8,IJ=12, SE=10

Find: EK.

Given: SI=8,IJ=12, SE=10 Find: EK.-example-1

1 Answer

5 votes

Answer:

The value of EK is
6\ units

Explanation:

we know that

Applying The Intersecting Secant Theorem


SJ*SI=SK*SE

we have


SJ=SI+IJ=8+12=20\ units


SI=8\ units


SK=SE+EK=(10+EK)\ units


SE=10\ units

substitute the values


20*8=(10+EK)*10

Simplify


2*8=(10+EK)*1


16=10+EK


EK=16-10=6\ units

User Samandmoore
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