Unit Test

The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle?

2 square root of 2 cm

The equation can be used to find the length of AB. What is the length of AB? Round to the nearest tenth.

21.3 in.

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. How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch.

48 square inches

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. Which is the approximate measure of angle YZX?

39.4°

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet. To the nearest foot, what amount of fencing is needed to surround the perimeter of the flower bed?

40 feet

Given right triangle DEF, what is the value of tan(F)?

40/9

Which equation can be used to find the measure of angle BAC?

tan−1(12/5)=x

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?

42.0 cm

In which triangle is the value of x equal to tan−1(3.1/5.2)?

D.

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.

3.2 inches

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 = 1/2bh

381.3 cm^2

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

The side opposite ∠Q is RS. The hypotenuse is QR. The side adjacent to ∠Q is QS.

Triangle ABC is a right triangle and cos(22.6o)=b/13. Solve for b and round to the nearest whole number. Which equation correctly uses the value of b to solve for a?

tan(22.6o) =a/12

Which triangle is a 30°-60°-90° triangle?

C.

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

acute, because 12^2+15^2>10^2

Which equation can be used to find the length of AC?

(10)sin(40o) = AC

The hypotenuse of a 45°-45°-90° triangle measures 22 square root of 2 units. What is the length of one leg of the triangle?

11 units

What is the area of triangle PQR? Round to the nearest tenth of a square unit.

111.3 square units

Given right triangle ABC, what is the value of tan(A)?

12/5

The equation tan-1(8.9/7.7)=x can be used to find the measure of angle LKJ. What is the measure of angle LKJ? Round to the nearest whole degree.

49°

Joey is building a frame for a sandbox. The sandbox is going to be a quadrilateral that has the lengths shown. If the diagonal of the sandbox measures 14 feet, which best describes the shape of the sandbox?

a quadrilateral, because angle C and angle X are acute

Which equation can be used to find the measure of angle LJK?

cos(x) = 10/15

What are the angle measures of triangle VUW?

m∠V = 30°, m∠U = 90°, m∠W = 60°

Right triangle ABC is shown. Which equation can be used to solve for c?

sin(50o) =3/c

The diagonal of rectangle ABCD measures 2 inches in length. What is the length of line segment AB?

square root of 3 inches

Triangle ABC is a right triangle and cos(22.6o)=.b/13 Solve for b and round to the nearest whole number. Which equation correctly uses the value of b to solve for a?

tan(22.6o) = a/12

What is the area of triangle DFG? Round to the nearest whole square unit.

27 square units

Given △JKL, sin(38°) equals

cos(52°).