Unit Test Answers

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?

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

Which equation can be used to find the length of ?

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

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.

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

Use the diagram to complete the statement.

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.

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 .

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.

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

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

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.

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

The diagonal of rectangle ABCD measures 2 inches in length.

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 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.

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 length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options.

Which equation can be used to solve for b?

Right triangle ABC is shown.

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.

Triangle L M N is shown. Angle N L M is a right angle. The length of N L is 19.1 inches and the length of L M is 14.1 inches. Angle L N M is x and angle N M L is y.