Unit Test Answers

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

Triangle MRN is created when an equilateral triangle is folded in half.

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

Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W X is b, the length of X Y is a, the length of Y Z is 5, and the length of W Y is 6.

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.

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 M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.

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.

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.

Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, , is drawn from the right angle to the hypotenuse.

Right triangle ABC is shown.

The equation can be used to determine the measure of angle BAC.

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

Triangle J K M is shown. Angle J M K is a right angle. The length of hypotenuse K J is a, the length of J M is b, and the length of K M is c.

Which equation can be solved to find one of the missing side lengths in the triangle?

A right triangle is shown. An altitude is drawn to form a right angle with the opposite side. The length of the altitude is x. The other 2 sides are congruent.

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

ΔQRS is a right triangle.

Triangle G E F is shown. Angle G E F is a right angle. The length of hypotenuse F G is 14.5 and the length of F E is 11.9. Angle B F E is theta.

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.

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 S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of T Q is 16 and the length of R Q is 20.

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

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?

is an altitude in triangle WXZ.

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.

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

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

Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.

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

The diagonal of rectangle ABCD measures 2 inches in length.

The equation can be used to find the length of .

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of R T is x.

Use the diagram to complete the statement.

Which equation can be used to find the length of ?

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

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

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.

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.

Triangle G Y K is shown. Angle G K Y is a right angle. Angle K G Y is 60 degrees and angle G Y K is 30 degrees. The length of G K is 27.