the circular stone mound in Ireland called Newgrange has a diameter of 250 feet. A passage 62 feet long leads toward the center
of the mound. Find the perpendicular distance x from the end of the passage to either side of the mound
1 answer:
The complete question in the attached figure
we know that
If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord (Segments of Chords Theorem)
therefore
AB*BC=DB*BE
AB=x
BC=x
DB=62
BE=250-62---------> BE=188 ft
so
x*x=62*188----------> x²=11656--------> x=√11656--------> x=107.96 ft
the answer is x=107.96 ft
we know that
If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord (Segments of Chords Theorem)
therefore
AB*BC=DB*BE
AB=x
BC=x
DB=62
BE=250-62---------> BE=188 ft
so
x*x=62*188----------> x²=11656--------> x=√11656--------> x=107.96 ft
the answer is x=107.96 ft
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