To find VR (or VB), we can use the Intercept theorem. According to this theorem, the ratio of the lengths of the intercepted segments on two intersecting chords is equal.
In this case, we have two chords KD and VR intersecting at point A, with lengths AK = 7 cm, and AD = 4 cm. We also know that AV = 14 cm.
Let's use the Intercept theorem to find VR.
AK/AD = AV/VR
Substituting the given values:
7 cm/4 cm = 14 cm/VR
Cross-multiplying:
VR * 7 cm = 4 cm * 14 cm
VR = (4 cm * 14 cm) / 7 cm
VR = 8 cm
Therefore, VR (or VB) is equal to 8 cm.
