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In the diagram, EFGH is a circle centre O. FH is a diameter and GE...

Mathematics
JAMB 2000

In the diagram, EFGH is a circle centre O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. If NH = 8cm and EG = 24cm, calculate FH

  • A. 32cm
  • B. 26cm
  • C. 20cm
  • D. 16cm
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Correct Answer: Option B
Explanation

\(\bigtriangleup\)OEN = \(\bigtriangleup\)OGN

OE = OG = r(radii)

(r - 8)\(^2\) + 12\(^2\) = r\(^2\)

r\(^2\) - 16r + 64 + 144 = r\(^2\)

16r = 64 + 144 

16r = 64 + 144 = 208

\(\frac{208}{16}\) = 13cm

FH = 2FO = 2OH = 2R

= 2 x 13cm

= 26cm

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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