Question

Points A(-3,-2),B(-6,a)C(-3,-4) and D(0,-1) are verticles of quadrilateral ABCD. Find a if a is negative and AB=CD​

Answer 1

Answer:

AB=CD

AB

2

=CD

2

(−6+3)

2

+(a+2)

2

=(0+3)

2

+(−1+4)

2

⇒9a

2

+4+4a=9+9⇒a

2

+4a−5=0

⇒a

2

−a+5a−5=0⇒a(a−1)+5(a−1)=0⇒(a−1)(a+5)=0

a=1or−5

According to the question

a is negative hence the value of a is −5

Step-by-step explanation:

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