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Help me with this question
Explain it nicely.
Find for
x
Note:
if u want to redraw it draw exactly like in the diagram
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join end points of chords by the centre O u wii get two isosceles triangles ROS and POQ respectively (as two sides of triangle are equal i.e radius )
now draw a radius OM which is perpendicular bisector of both chords at point X and Y respectively which divides both chords eqally.
now from triangle OXS
OX=(OS^2-SX^2)^1/2 (pythagoras theorem)
OX=(13^2-12^2)^1/2
OX =5mm
again from triangle OQY
OY=(OQ^2-QY^2)^1/2
OY=(13^2-5^2)^1/2
OY=12mm
now we have to find the distance between the chord i.e XY
XY=OY-OX
XY=12-5
so, XY=7mm.