Answers OH-Geometry BArea and Perimeter of Triangles

Area and Perimeter of Triangles — Unit test Answers

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

2 cm

4 cm

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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.

34.8°

39.4°

50.6°

55.2°

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

The side opposite ∠Q is RS.

The side opposite ∠R is RQ.

The hypotenuse is QR.

The side adjacent to ∠R is SQ.

The side adjacent to ∠Q is QS.

The equation can be used to find the length of .

19.3 in.

21.3 in.

23.5 in.

68.0 in.

The diagonal of rectangle ABCD measures 2 inches in length.

1 inch

inches

4 inches

inches

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

41°

45°

49°

55°

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.

StartFraction 9 Over 41 EndFraction

StartFraction 40 Over 41 EndFraction

StartFraction 40 Over 9 EndFraction

StartFraction 41 Over 9 EndFraction

Which equation can be used to find the length of ?

(10)sin(40o) = AC

(10)cos(40o) = AC

= AC

Use the diagram to complete the statement.

cos(38°).

cos(52°).

tan(38°).

tan(52°).

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

tan(22.6o) =

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.Trigonometric area formula: Area =

17 feet

33 feet

40 feet

50 feet

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

68.7 cm2

161.8 cm2

381.3 cm2

450.0 cm2

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

11 units

units

22 units

units

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.

m∠V = 30°, m∠U = 60°, m∠W = 90°

m∠V = 90°, m∠U = 60°, m∠W = 30°

m∠V = 30°, m∠U = 90°, m∠W = 60°

m∠V = 60°, m∠U = 90°, m∠W = 30°

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.

sin(x) =

cos(x) =

Which equation can be used to solve for b?

tan(30o) =

Which relationship in the triangle must be true?

sin(B) = sin(A)

sin(B) = cos(90 – B)

cos(B) = sin(180 – B)

cos(B) = cos(A)

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 =