PQRS is a parallelogram. If U is the mid point of PS and RS = 3cm. What will be the length of ST( in cm)
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Answer:
ST = 3cm
Step-by-step explanation:
PQ = SR = 3cm ( opposite sides of a parallelogram are equal)
Consider ∆UPQ and ∆UTS.
Since U is the midpoint of PS,
PU = US
Angle UPQ = Angle UTS (alternate angles formed when parallel lines PQ and SR are cut by the line PS)
Angle PUQ = Angle TUS (opposite angles)
One side and angle at its ends of ∆UPQ is equal to that of ∆ UTS. Hence they are equal triangles and the sides opposite to equal angles of equal triangles are aslo equal.
Therefore ST = PQ = 3cm
Hope it helps you (•‿•)
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are sorry galti se mistek ho gai but sorry a
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