Question 188
G is the centroid of ΔABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively: then the length of AB (in cm) is
Solution
Given : AD = 9 & BE = 12 are medians. G is centroid of $$\triangle$$ABC
$$\angle$$AGB = 90
To find : AB = ?
Solution : A centroid divides a median in the ratio = 2 : 1
=> AG : GD = 2 : 1
=> AG = 6 cm
Similarly, BG = 8 cm
Now, in right angled $$\triangle$$ABC
=> AB = $$\sqrt{(AG)^2 + (BG)^2}$$
=> AB = $$\sqrt{6^2 + 8^2} = \sqrt{100}$$
=> AB = 10 cm
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Remainders QuestionsCAT Mensuration QuestionsCAT Time And Work QuestionsCAT Probability, Combinatorics QuestionsCAT Percentages Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Quant Based LR QuestionsCAT Table with Missing values QuestionsCAT Scheduling QuestionsCAT Data Interpretation Basics QuestionsCAT DI Miscellaneous Questions
