Question

if the points A(a,-11) B(5,b) C(2,15)and D(1,1) arethe vertices of a parallelogram .ABCD FIND THE VALUES OF a and b

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Slope of PQ=SR

(a-5)/(-11-b)=(1–2)/(1–15)

a= -(b+11)/14 +5 …..(1)

Slope PS=QR

(a-1)/(-11–1)=(5–2)/(b-15)

(b-15)((b+11)/14–4)=36

(b-15)(b-45)=36*14

b^2–60b+171

Sol : b = (60+/-54)/2

b=3, a=4,

b=57, a=69/7

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