Unit Test — Unit test Answers

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

Law of sines:

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

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.

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.

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

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

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.)

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)

The equation can be used to find the length of .

Trigonometric area formula: Area =

A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material.Heron’s formula: Area =

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 cosines: a2 = b2 + c2 – 2bccos(A)

Which equation can be used to find the length of ?

Use the diagram to complete the statement.

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