The value of t is 5
Solution:
Given data:
AX = t, BX = 12, DX = 10 and CX = t + 6
If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.
⇒ AX × BX = DX × CX
⇒ t × 12 = 10 × (t + 6)
⇒ 12t = 10t + 60
Subtract 10t from both sides of the equation, we get
⇒ 12t = 60
Divide by 12 on both sides of the equation.
⇒ t = 5
The value of t is 5.
