Question : Two medians AD and BE of $\triangle$ ABC intersect at G at right angles. If AD = 9 cm and BE = 6 cm, then the length of BD (in cm) is:

Option 1: 10

Option 2: 6

Option 3: 5

Option 4: 3

Question : D is a point on the side BC of a $\triangle $ABC such that $\angle A D C=\angle B A C$. If CA = 10 cm and BC=16 cm, then the length of CD is:

Option 1: 6.5 cm

Option 2: 6.25 cm

Option 3: 7 cm

Option 4: 6 cm

Question : In $\triangle$ABC, D is the median from A to BC. AB = 6 cm, AC = 8 cm, and BC = 10 cm.The length of median AD (in cm) is:

Option 1: 4.5

Option 2: 5

Option 3: 4

Option 4: 3

Question : In a triangle ABC, $\angle$BAC = 90°. If BC = 25 cm, then what is the length of the median AD?

Option 1: 10 cm

Option 2: 12.5 cm

Option 3: 14.5 cm

Option 4: 24 cm

Question : ABCD is a cyclic quadrilateral in which AB = 15 cm, BC = 12 cm and CD = 10 cm. If AC bisects BD, then what is the measure of AD?

Option 1: 15 cm

Option 2: 13.5 cm

Option 3: 18 cm

Option 4: 20 cm