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In this lesson, we will learn how to decide whether the rule of sines or the rule of cosines is most appropriate for solving a non-right triangle problem.

Q1:

π΄ π΅ πΆ π· is a parallelogram where π β π΄ = 6 0 β , the perimeter is 156 cm, the length of the small diagonal is 42 cm and π΄ π΅ < π΄ π· . Find the area of the ABCD giving the answer to the nearest square centimeter.

Q2:

π is a circle with radius 24 cm. A chord is drawn whose central angle is 6 2 β . Find the length of the chord giving the answer to the nearest cm.

Q3:

π΄ π΅ πΆ π· is a parallelogram where π β π΄ = 7 9 4 2 β² β , π β π· π΅ πΆ = 6 8 4 2 β² β and π΅ π· = 3 2 . 3 c m . Find the perimeter of π΄ π΅ πΆ π· giving the answer to two decimal places.

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