Question : In $\Delta$ABC, D is the mid-point of BC and G is the centroid. If GD = 5 cm then the length of AD is:
Option 1: 10 cm
Option 2: 12 cm
Option 3: 15 cm
Option 4: 20 cm
Correct Answer: 15 cm
Solution :
In a triangle, the centroid divides the median into two segments in the ratio of 2 : 1. Given that GD = 5 cm. ⇒ AG : GD = 2 : 1 ⇒ AG = 2GD = 2 × 5 cm = 10 cm ⇒ AD = AG + GD = 10 cm + 5 cm = 15 cm Hence, the correct answer is 15 cm.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
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:
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:
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:
Question : In a triangle ABC, $\angle$BAC = 90°. If BC = 25 cm, then what is the length of the median AD?
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?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile