Attempt this Geometry based Question of the Day of 22 November 2021

Question of The Day22-11-2021

In △ ABC, G is the centroid, AB = 12 cm, BC = 10 cm and CA = 14 cm, then what is the value (in cm) of GD?

QOTD 22 Nov

Answer

Correct Answer : c ) 8 cm

Explanation :

According to the question

AB = c = 12 cm, BC = a = 10 cm and CA = b = 14 cm

AD is the median

We know that

median=\({1 \over 2}{\sqrt{ 2b^2+2c^2-a^2}}\)

Median=\({1 \over 2}{\sqrt{ 2(12)^2+2(14)^2-(10)^2}}\)

⇒Median=\({1 \over 2}{\sqrt{ 288+392-100}}\)

Since, \({\sqrt {580}} \) ≅ 24

⇒Median=\({1\over 2}*{\sqrt {580}}\)= \({1\over 2}*24\)

⇒ 12 cm

Centroid divides Median in the ratio 2 : 1

⇒GD=\({1 \over 3}*12\)

⇒ GD = 4 cm

Hence, (c) is the correct answer.

0 LIKES

COMMENTS

Current-Affairs

Word Of The Day

Palmy

Something that is flourishing or marked by prosperity

Abounding in or shaded with palms

"I have known her since her palmy days when she was living in Delhi."

Paris Olympics 2024: Brief History of Olympics, Winners at Paris Olympics, Related Facts

Highlights of Union Budget 2024-25

Highlights of Interim Budget 2024

150+ Paryayvachi Shabd in Hindi - पर्यायवाची शब्द

Daily Current Affairs and GK | 14 December 2024

Daily Current Affairs and GK | 13 December 2024

Daily Current Affairs and GK | 12 December 2024

Daily Current Affairs and GK | 11 December 2024

Daily Current Affairs and GK | 10 December 2024

Banking Awareness of 11, 12 and 13 December 2024

Banking Awareness of 8, 9 and 10 December 2024

Banking Awareness of 6 and 7 December 2024

Banking Awareness of 3, 4 and 5 December 2024

Banking Awareness of 1 and 2 December 2024