Unit Test Answers

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.

Use the diagram to complete the statement.

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.

Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.What is the approximate area of the triangle? Round to the nearest tenth.Area of a triangle = bh

The diagonal of rectangle ABCD measures 2 inches in length.

Law of sines:

The law of cosines for RST can be set up as 52 = 72 + 32 – 2(7)(3)cos(S). What could be true about RST?Law of cosines: a2 = b2 + c2 – 2bccos(A)

Law of sines:

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

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

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

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

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.

Which equation can be used to find the length of ?

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24.

The equation can be used to find the length of .

Triangle L J K is shown. Angle J L K is a right angle. The length of the hypotenuse is 15 inches and the length of the side adjacent to the right angle is 10 inches. The angle between the 2 sides is x.

Which statements are true about triangle QRS? Select three options.

A right triangle is shown. The length of the hypotenuse is 4 centimeters and the lengths of the other 2 sides are congruent.

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.

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

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.

In which triangle is the value of x equal to tan−1? (Images may not be drawn to scale.)