2000
Mathematics
67ca00ce0c643c71d77dee1f
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
Correct Answer: 26cm
Explanation
△OEN = △OGN OE = OG = r(radii) (r - 8)2 + 122 = r2 r2 - 16r + 64 + 144 = r2 16r = 64 + 144 = r2 16r = 64 + 144 = 208 208/16 = 13cm FH = 2FO = 2OH = 2R = 2 x 13cm = 26cm
△OEN = △OGN OE = OG = r(radii) (r - 8)2 + 122 = r2 r2 - 16r + 64 + 144 = r2 16r = 64 + 144 = r2 16r = 64 + 144 = 208 208/16 = 13cm FH = 2FO = 2OH = 2R = 2 x 13cm = 26cmTHIS WEEK's
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