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3 votes
I have a quadrilateral labelled SRQP.

SP = 20cm
PQ = 25cm
QR = 40cm

Angle SPQ = 82°
Angle PQR = 93°

What is the length of SR? (none of the lines are stated to be parallel and none of the angles are stated to be the same)

My teacher got something like 31.4cm but I don't understand.

(use sine rule or/and cosine rule)

(I drew the line PR so it's not part of the original diagram)​

1 Answer

6 votes

Answer:

SR≈31.44 cm

Explanation:

Answer is given in the images

(note arcsine = sin inverse)

I have a quadrilateral labelled SRQP. SP = 20cm PQ = 25cm QR = 40cm Angle SPQ = 82° Angle-example-1
I have a quadrilateral labelled SRQP. SP = 20cm PQ = 25cm QR = 40cm Angle SPQ = 82° Angle-example-2
I have a quadrilateral labelled SRQP. SP = 20cm PQ = 25cm QR = 40cm Angle SPQ = 82° Angle-example-3
I have a quadrilateral labelled SRQP. SP = 20cm PQ = 25cm QR = 40cm Angle SPQ = 82° Angle-example-4
User Mjepson
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