Answer : The value of 'x' is, 8
Step-by-step explanation :
According to the theorem, if two chords intersect inside a circle then the product of the lengths of the one chord equals to the length of another chord.
That means in the given figure,
AO × OB = CO × OD
Given:
Length AO = 10
Length OB = 4
Length CO = x
Length OD = 5
Now put all the given values in the above expression, we get:
AO × OB = CO × OD
10 × 4 = x × 5
40 = x × 5
x = 8
Therefore, the value of 'x' is, 8
