TS ICET 24 May 2018 Shift 1 Paper

Question : 139 of 200

Marks: +1, -0

If two vertices o f a triangle are (2. 3). (-1, 4) and its centroid is (3. 5). then the area (in sq units) o f the triangle is?

Solution:

The area of ΔABC = 3x area of Δ GAB where G is the centroid and A and B are the two vertices of triangle.

=3×{1}/{2}|\table 2-(-1) ,-1-3 ; 3-4 , 4-5|

={3}/{2}|\table 3 , -4 ; -1 , -1|

={3}/{2}|(-3-4)|={21}/{2}

Sq.units

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