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
To harness the potential of ICT in Agriculture, Ministry of Agriculture & Farmers Welfare launched the scheme __________on January 21, 2004. The main a...
In North India rivers are perennial during the period of
Primitive and least controlled surface irrigation method is
Most widely used post emergence herbicide in rice
The sewage and sludge contains an average NPK content of
(A) 2.0 to 3.0% N. 1.0% P2 O3 and 1.0% K2 O
(B) 2.0 to 4.0% N. 2.0% P2 O3 an...
In an average well decomposed FYM (Farmyard manure) contains
Linseed is generally grown during ___________________ season in India.
Removal of the tail in lambs is called-
The symbol 'D' in thermo-bacteriology is indicated for
In Western Himalayan Region, mean annual rainfall varies from _____