Unit Test Answers

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.

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

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

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

Use the diagram to complete the statement.

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.

The equation can be used to find the length of .

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

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.

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

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 statements are true about triangle QRS? Select three options.

The diagonal of rectangle ABCD measures 2 inches in length.

Which equation can be used to find the length of ?

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

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

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.

An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greatest possible length of the longest side, rounded to the nearest tenth?

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

Two students describe the sides of right triangle ABC in relation to ∠B. TomasAB is the hypotenuse.AC is the opposite side.BC is the adjacent side.IlianaAB is the hypotenuse.BC is the opposite side.AC is the adjacent side.Who is correct? Explain.

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 13, the length of C B is 12, and the length of A C is 5. Angle C A B is x.

Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.

Which expressions can be used to find m∠ABC? Select two options.

What is the length of ? Round to the nearest tenth.

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 10.3 centimeters, the length of C B is 10 centimeters, and the length of A C is 2.4 centimeters. Angle A B C is x.

A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle X Y Z is x.

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypotenuse X Y is c.