pqrs is a quadrilateral with diagonals pr and sq intersecting each other at o. if po= x+y, or=22cm, qo=x+4 and os=12cm, find x a
nd y so that pqrs is a parallelogram
1 answer:
Answer:
x = 8 cm
y = 14 cm
Step-by-step explanation:
If the quadrilateral is a parallelogram, the diagonals have an intersection that cuts each one in half, so we have that po = or and qo = os:
x + y = 22
x + 4 = 12
First we can find the value of x with the second equation:
x + 4 = 12
x = 8 cm
Then, we can find the value of y with the first equation:
x + y = 22
8 + y = 22
y = 14 cm
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