Question
In ∆ABC , G is the centroid , AB = 5 cm, BC= 6 cm and
AC = 7 cm , find GD, where D is the mid-point of BC?Solution
If AD is the median, then we know, AB² + AC² = 2{AD² + (BC/2)²} or 5 2 + 72 = 2{AD 2 + (6/2) 2 } or 25 + 49 = 2{AD 2 + 9} or 74/2 = AD 2 + 9 or 37 = AD 2 + 9 or AD 2 = 37 – 9 = 28 or AD = √28 = 2√7 Now G divides median in 2:1 so GD = 1/3 of AD = 1/3 of 2√7 = 2√7 /3cm
Who called Mahatma Gandhi’s ways as Political Blackmail?
ICAI hosted the event for the first time in India and South Asia, who was the chief guest during the inaugural ceremony of the 21st World Congress of Ac...
The term ‘inning’ is related to which of the following sports?
Doctors use a/an ____________ to listen the sounds of various organs in the human body.
Who has been conferred the first ever 'Udyog Ratna' award instituted by the Maharashtra government in August 2023?
The leading financial services and solutions company Paytm has raised India's largest IPO of valuations Rs _______ crores?
Packets of potato chips are usually flushed with which one of the following gases to prevent rancidity?
For the UT – Jammu and Kashmir, the Finance Minister Nirmala Sitharaman had allocated a budget of Rs_______?
Which district of uttrakhand is not situated along the international boundary?
Match the concepts in column A with their respective descriptions in column B.
Relevant for Exams:
