Question

The area of the triangle formed by the points A (2,0), B (6,0) and C (4,6) is:
(a) 24 sq. units
(b) 12 sq. units
(c) 10 sq. units
(d) none of these
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plz tell

Answer 1

Answer:

(d),none of these.

Step-by-step explanation:

let ABC be as a triangle

therefore, distance between A and B is

= √(X2+X1)2+(Y2+Y1)2

= √(6+2)2+(0+0)2

= √(8)2+0

= √64

= 8 units

distance between B and C = √(X2+X1)2+(Y2+Y1)2

= √(4+6)2+(6+0)2

= √(10)2+(6)2

= √100+36

= √136

= 11.6 units

distance between A and C = √(X2+X1)2+(Y2+Y1)2

= √(4+2)2+(6+0)2

= √(6)2+(6)2

= √36+36

= √72

= 8.4 units

therefore, AB = 8 ; AC = 8.4 ; BC = 11.6

Therefore, area of triangle ABC

= 1/2 * base * height

= 1/2 * 8.4 * 8

= 8.4 * 4

= 33.6 sq.units