Question

2. If the area of the triangle formed by the points (2a, -3a), (3,-2) and (5. 2) is 6 sq unite
the value of a is:


(a) 2

(b)-2

(c)1

(d)-1

I also got the answer but it's not in the options please explain fully​

Answer 1

Answer:

-2

Step-by-step explanation:

If you think that my answer is satisfying PLEASE like the answer

Answer 2

Answer:

Step-by-step explanation:

Area  = 1/2 |2a(-2-2) + 3(2- -3a) + 5(-3a- -2)|

      6 = 1/2 |2a(-4) + 3(3a + 2) + 5(2 - 3a)|

     12 = |-8a + 9a +6 + 10 - 15a |

     12 = |16 -14a |

    16 - 14a = 12                         or                               16 - 14a = -12

           14a = 4                          or                                       14a = 28

              a = 2/7                        or                                          a = 2                                                        

So a =2

Correct option is (a)