Question
In ∆ABC , G is the centroid , AB = 5 cm, BC= 8 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 52 + 72 = 2{AD 2 + (8/2) 2 } or 25 + 49 = 2{AD 2 + 16} or 74/2 = AD 2 + 16 or 37 = AD 2 + 16 or AD 2 = 37 – 16 = 21 or AD = √21 = √21 Now G divides median in 2:1 so GD = 1/3 of AD = 1/3 of √21 = √21/3cm
The Reserve Bank of India (RBI) has charged the Non-Banking Finance Company (NBFC) L&T Finance with _________ for failing to notify the change in the pe...
For the Aditya L1 project of ISRO, who has made the Visible Line Emission Coronagraph payload?
What was the theme for “World Milk Day” this year?
What is Air Marshal P.K. Barbora (Retd) known for within the Indian Air Force (IAF)?
What is the primary objective of the Vivad se Vishwas-2 scheme launched by the government?
1) Provide relief to Micro, Small, and Medium Enterpri...
Shri Nitin Gadkari inaugurates and lays foundation stone of 8 National Highway projects worth Rs 4054 crore in which of the following city?
Consider the following statements about the Africa Clean Cooking Summit held in Paris:
1. The summit addressed health and environmental problems ...
Where has India’s first organic fish cluster been launched?
As of 2023, how many passengers did Delhi's Indira Gandhi International Airport handle, making it one of the top 10 busiest airports in the world?
Which state will host Hornbill Festival in December 2021?
