Solving for Side Lengths of Right Triangles — Unit test Answers

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.

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.

Use the diagram to complete the statement.

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

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.

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

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

The equation can be used to find the length of .

The diagonal of rectangle ABCD measures 2 inches in length.

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

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

Which 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.

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.

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

Each leg of a 45°-45°-90° triangle measures 12 cm.

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