Activity 3: TEST YOURSELF!
Solve each of the following problems. Round off your final answers to the
nearest whole number.
1. The lengths of the diagonals of a parallelogram are 20 centimeters and
30 centimeters. The diagonals intersect at an angle of 41º. Find the
lengths of the parallelogram's sides.
2. Joshua has three sticks measuring 20 inches, 25 inches, and 34 inches.
He lays them down to form a triangle. Find the measure of the smallest
angle.
Solve each of the following problems. Round off your final answers to the
nearest whole number.
1. The lengths of the diagonals of a parallelogram are 20 centimeters and
30 centimeters. The diagonals intersect at an angle of 41º. Find the
lengths of the parallelogram's sides.
2. Joshua has three sticks measuring 20 inches, 25 inches, and 34 inches.
He lays them down to form a triangle. Find the measure of the smallest
angle.
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Answer:
1. Use the law of cosines.
Therefore, the sides of the parallelogram are 10 and 11 cm.
2. Use the law of cosines.
Pair the two longest sides to get the smallest angle.
Therefore, the smallest angle is 36 degrees.