Law of Sines (Sec 8-3) — Unit test Answers

Law of sines:

Trigonometric area formula: Area =

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.Trigonometric area formula: Area =

Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41.

Triangle V U W is shown. The length of side W V is 6 centimeters, the length of side W U is 3 StartRoot 3 EndRoot centimeters, and the length of side U V is 3 centimeters.

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle? Round your answer to the nearest tenth.

Triangle ABC is a right triangle and cos(22.6o)=. Solve for b and round to the nearest whole number.

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The hypotenuse of a 45°-45°-90° triangle measures units.

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The equation can be used to find the measure of angle LKJ.

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Law of cosines: a2 = b2 + c2 – 2bccos(A)

Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown.

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