Use the intersecting chords theorem to find the value of $x$ in the given diagram.

Use the intersecting chords theorem to find the value of $x$ in the given diagram.

Hence find the missing lengths in the diagram.

Use the intersecting chords theorem to find the value of $x$ in the given diagram.

Hence find the missing lengths in the diagram.

A circle has points $A, B, C$ and $D$ on its circumference. Chords $AB$ and $CD$ have length $11$ and $7$ respectively, and meet interior to the circle at point $X$.

Sketch the circle and indicate points $A, B, C, D$ and $X$ on the sketch.

A circle has points $A, B, C$ and $D$ on its circumference. Chords $AB$ and $CD$ have length $11$ and $7$ respectively, and meet interior to the circle at point $X$.

Given that $AX, BX, CX$ and $DX$ are integers, find the possible values that they can take.

Find the value of $x$ in the given diagram.

Find the value of the unknown(s) in the given diagram.

Find the value of the unknown(s) in the given diagram.

Find the value of the unknown(s) in the given diagram.