Question
In ∆ABC , G is the centroid , AB = 20 cm, BC= 24 cm
and AC = 28 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 202 + 282 = 2{AD 2 + (24/2) 2 } or 400 + 784 = 2{AD 2 + 144} or 1184/2 = AD 2 + 144 or 592 = AD 2 + 144 or AD 2 = 592 – 144 = 448 or AD = √448 = 8√7 Now G divides median in 2:1 so GD = 1/3 of AD = 1/3 of 8√7 = 8√7 /3cm
Select the synonym of the given word:
ENDEAVOR
12. A) Goodness B) Practical C) Unethical D) Moral
Which of the given options is incorrect with respect to the given pair:
Oligarchy : Monarchy
Which of the following is a synonym for "nurture"?
Select the most appropriate. meaning of the given idiom.
Full of beans
The professor was meticulous in his research.
Select the most appropriate option to substitute the bold segment in the given sentence.
Purchasing furniture at a low cost could not invol...
This __________ is useless. You better throw it.
Someone who is a passionate advocate, promoter, or pioneer of a particular cause or belief
Choose the one which best expresses the meaning of the given word .
Innate
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