In circle V, a diameter and one chord intersect at point W. Find tha value of x. A. 4.9 B. 6.3 C. 8 D. 20

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21-10-2016
Mathematics

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In circle V, a diameter and one chord intersect at point W. Find tha value of x. A. 4.9 B. 6.3 C. 8 D. 20

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HomertheGenius HomertheGenius · Answer 1 · 2016-11-03T22:41:09+01:00

HomertheGenius HomertheGenius

03-11-2016

V - the center of a circle;
r = 10
In the triangle VWS :
WS = x
VS = 10 ( hypotenuse )
VW = 10 - 4 = 6
We will use the Pythagorean theorem:
x² + 6² = 10²
x² + 36 = 100
x² = 100 - 36
x² = 64
x = √ 64 = 8
Answer:
C ) 8

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