Question
The vertices of a triangle are given as (5, 4), (9, 6),
and (1, 5). Determine the area enclosed by this triangle.Solution
Area of a triangle whose vertices are (x1,y1) , (x2,y2) and (x3,y3) : = (1/2) X |x1(y2Â - y3) + x2(y3Â - y1) + x3(y1Â - y2) | Here, 'x1' = 5, 'x2' = 9, 'x3' = 1, 'y1' = 4, 'y2' = 6 and 'y3' = 5 Required area = (1/2) X |5 X (6 - 5) + 9 X (5 - 4) + 1 X (4 - 6) | = (1/2) X | 5 + 9 - 2| = (1/2) X 12 = 6 square units
Find the appropriate Phrasal verb.
Can you please _________ my website just before I publish it?
Direction: Identify the sentence in which the given phrasal verb is used CORRECTLY.
Bring up
A. The viral video of the skateboarder's in...
Unlawful taking of personal property
The detective suddenly ________ a useful clue.
I. It is the most efficient method ever.
II. It is still highly inefficient, and this inefficiency inspires hope.
(a) Despite
In the following question a sentence or a phrase is given which can be substituted by one word. Choose the most appropriate word explaining the sentence...
Get out from here IMMEDIATELY . (Phrasal verbs)
Killing of one's brotherÂ
We should _________ for a rainy day. (find appropriate Phrasal verb)
They're travelling across Europe by train and are planning to arrive in Moscow.