subquestions : (i) In the figure given below, quadrilaterals PQRS is a trapezium. SR || PQ. angle S=45°, angle R =30°, PQ=4, QR = 12, then find the length of SR.
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Answer:
Given: PQRS is a trapezium. SR IIPQ. <S=45°, R=30°
PQ = 4
QR = 12
To Find : Length of SR
Solution:
Sin 30° BQ/ RQ
=> 1/2 =BQ/12
=> BQ = 6
PQ = BQ = 6
Cos 30° BR/ RQ => √3/2 = BR/12
=> BR = 6√3
AB=PQ = 4
Tan 45° PA/AS
=> 1 = 6/AS
=> AS = 6
SR AS + AB + BR
= 6+4 +6√3
= 10 + 6√3
= 20.39
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