Triangle Congruence: SSS and HL — Unit test Answers

The equation can be used to find the length of .

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

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

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

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.

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

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

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.

Use the diagram to complete the statement.

Law of sines:

Law of sines:

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

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 equation can be used to find the length of ?

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

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

Two teams are pulling a heavy chest, located at point X. The teams are 4.6 meters away from each other. Team A is 2.4 meters away from the chest, and Team B is 3.2 meters away. Their ropes are attached at an angle of 110°.Law of sines:

Which measures are accurate regarding triangle JKL? Select two options.

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.

The diagonal of rectangle ABCD measures 2 inches in length.