Math, asked by soroutsatlesh, 11 months ago

If A 6-2, 1) B[ao) 6/4, b)
DT 12] are the vertical
6 a parallelogem ABCD
find the values of a and b.
Honce find the length of
its bodege​

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Answers

Answered by dnyanesh1995
1

Answer:

Value of a=1,b=1

Step-by-step explanation:

Find the slope of line AB and CD

Slope of AB m1=(0-1)/(a+2)=-1/a+2 Slope=(y2-y1)/(x2-x1)

Slope of CD m2=b-2/3.

AB is Parallel to CD

m1=m2

-1/a+2=b-2/3

(a+2)(b-2)=-3 ........(1)

Similarly

Find Slope of AD and BC

Slope of AD=1/3

Slope of BC=b/4-a

Slope of AD=Slope of BC

4-a=3b. ........(2)

Solving Eqn. (1) And (2)

We get

a=1 and b=1

Length of Side

AB =✓3^2+1^2=√10

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