Answer
$x=6$
Work Step by Step
When a diameter of a circle is perpendicular to a chord, then it will bisect the chord and its arc.
Apply Pythagorean Theorem.
$x^2+8^2=(10)^2 \\ x^2+64=100\\ x^2=36$
Therefore, $x=6$
Geometry: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281159
ISBN 13:
978-0-13328-115-6
Chapter 12 - Circles - 12-2 Chords and Arcs - Practice and Problem-Solving Exercises - Page 777: 13
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