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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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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