Question

Find the area of the triangle formed by the straight lines 2x - y - 5=0, x - 5y + 11 = 0
and x + y - 1 = 0.
AL=0
Angle between two lines​

Answer 1

Answer:

Area of Triangle = 9

Step-by-step explanation:

2x - y - 5=0, x - 5y + 11 = 0 and x + y - 1 = 0.

2x - y - 5=0   Eq  1

x - 5y + 11 = 0  Eq 2

x + y - 1 = 0.   Eq 3

Eq 1 + Eq 3

3x - 6 = 0

=> x = 2 , y = -1

Eq3 - Eq 2

6y - 12 = 0

=> y = 2  , x = - 1

Eq 1  - 2 * eq 2

9y -27 = 0

=> y = 3  , x =4

Co-ordiantes are  ( 2 , - 1 )  , (-1 , 2)  , ( 4 , 3)

Area of Triangle

= |(1/2) { 2(2 - 3)  + (-1)(3 -(-1)  + 4(-1 - 2)}|

= |(1/2){ -2 - 4 - 12}|

= | -9|

= 9

Area of Triangle = 9

Answer 2

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