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mathematics
holt mcdougal larson geometry
Holt McDougal Larson Geometry 1st Edition Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff - Solutions
To solve a right triangle means to find the measures of all of its __?__ and __?__.
Two triangles are__?___ if their corresponding angles are congruent and their corresponding side lengths are proportional.
Find tan A and tan B. Write each answer as a fraction and as a decimal rounded to four places. A 7 С 25 24 в
Find sin D and sin E. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary. D 9 15 12 E
Find the length of the hypotenuse of the right triangle. 50 X 120
Explain why the acute angles in an isosceles right triangle always measure 45°.
Explain how the side lengths of a triangle can be used to classify it as acute, right, or obtuse.
Explain how to tell which side of a right triangle is adjacent to an angle and which side is the hypotenuse.
Use a calculator to approximate the measure of ∠A to the nearest tenth of a degree. C 12 в 18 A
Identify the three similar right triangles in the given diagram. Fr Н G
Explain how you know that all right triangles with an acute angle measuring n° are similar to each other.
In your own words, explain geometric mean.
Describe the information you need to have in order to use the Pythagorean Theorem to find the length of a side of a triangle.
Find the value of x. Write your answer in simplest radical form. X 21 15
Find the value of x. Write your answer in simplest radical form. 5√2 X 5√2
Tell whether the triangle is a right triangle. 21.2 23 11.4
Find the length of the hypotenuse of the right triangle. X 56 33
Find sin D and sin E. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary. E 37 35 D 12 F
Use a calculator to approximate the measure of ∠A to the nearest tenth of a degree. B 10 C 22 A
Find tan A and tan B. Write each answer as a fraction and as a decimal rounded to four places. B 35 37 С 12 A
Find the value of x. Write your answer in simplest radical form. X 3√2 X
Tell whether the triangle is a right triangle. 2 6 3√5
Bob and John started running at 10 A.M. Bob ran east at 4 miles per hour while John ran south at 5 miles per hour. How far apart were they at 11:30 A.M.? Describe how you calculated the answer.
Find the length of the altitude to the hypotenuse. Round decimal answers to the nearest tenth. Z 107.5 ft 76 ft 76 ft
Find sin D and sin E. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary. D 45 53 F 28 E
Find tan A and tan B. Write each answer as a fraction and as a decimal rounded to four places. A 20 C 52 48 B
A Chinese checker board is made of triangles. Use the picture below to answer the questions.a. Count the marble holes in the purple triangle. What kind of triangle is it? b. If a side of the purple triangle measures 8 centimeters, find the area of the purple triangle. c. How many marble holes are
Find the length of the hypotenuse of the right triangle. 42 X 40
Use a calculator to approximate the measure of ∠A to the nearest tenth of a degree. C 14 A 4 B
Find the unknown leg length x. 16.7 ft 8.9 ft
Tell whether the triangle is a right triangle. 14 4√19 10
Find the length of the altitude to the hypotenuse. Round decimal answers to the nearest tenth. 26.6 ft X 2311 12.81
Explain why the student's statement is incorrect. Write a correct statement for the sine of the angle. sin A = 5/ A 5 C 13 12 B x
You build a beanbag toss game. The game is constructed from a sheet of plywood supported by two boards. The two boards form a right angle and their lengths are 3 feet and 2 feet.a. Find the length x of the plywood. b. You put in a support that is the altitude y to the hypotenuse of the right
Describe and correct the error in using the Pythagorean Theorem. X 24 x² = 7² +24² x² = (7 + 24)² x² = 31² x = 31 x
Use a calculator to approximate the measure of ∠A to the nearest tenth of a degree. A 11 B в 5 с
Find the value of each variable. Write your answers in simplest radical form. X 60° 3√3 y
Find the value of x to the nearest tenth. 12 X 41°
Describe and correct the error in using the Pythagorean Theorem. 26 10 24 a² + b² = c² 10² +26² = 24² x
Use a calculator to approximate the measure of ∠A to the nearest tenth of a degree. в 6 10 A
Tell whether the triangle is a right triangle. 5 √26 1
The square tile shown has painted corners in the shape of congruent 45° -45° -90° triangles. What is the value of x? What is the side length of the tile? 2√2 in. xin.
Find the value of x to the nearest tenth. X 15 27°
Find cos X and cos Y. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary. Y 45 36 X 27 Z
Find the value of x. Round decimal answers to the nearest tenth. 10 X 24
Find the length of the altitude to the hypotenuse. Round decimal answers to the nearest tenth. 13.21 83 it 30 is
Find the value of each variable. Write your answers in simplest radical form. 9 у X 30°
Tell whether the triangle is a right triangle. 80 89 39
Use a calculator to approximate the measure of ∠A to the nearest tenth of a degree. A 12 C 7 в
Write a similarity statement for the three similar triangles in the diagram. Then complete the proportion. XW ? X ZW YW W Z
Find cos X and cos Y. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary. Xx 15 17 Z 8 Y
Find the value of x to the nearest tenth. 22 X 58°
Find the value of x. Round decimal answers to the nearest tenth. 12 X 3
Find the unknown leg length x. X 13.4 in. 9.8 in.
Find the value of each variable. Write your answer in simplest radical form. 30° V X 4
Tell whether the given side lengths of a triangle can represent a right triangle. 9, 12, and 15
Find cos X and cos Y. Write each answer as a fraction and as a decimal. Round to four decimal places, if necessary. X 13 26 13√3 Y
Find the value of each variable. Write your answers in simplest radical form. y 12√3 X 30°
Write a similarity statement for the three similar triangles in the diagram. Then complete the proportion. ? SQ Q S || SQ TQ R
Tell whether the given side lengths of a triangle can represent a right triangle. 9, 10, and 15
Find the unknown leg length x. 5.7 ft X 4.9 ft
Use a sine or cosine ratio to find the value of each variable. Round decimals to the nearest tenth. X 18 y 32°
Solve the right triangle. Round decimal answers to the nearest tenth. M 8 40° K L
Find the area of the isosceles triangle. 17 m h 16 m 17 m
Write a similarity statement for the three similar triangles in the diagram. Then complete the proportion. EF-EG ? E H F G
Find the value of each variable. Write your answer in simplest radical form. 45° X 24
Use a sine or cosine ratio to find the value of each variable. Round decimals to the nearest tenth. 10 48° b a
Describe and correct the error in writing a proportion for the given diagram. X W W == = y Z w + v Z x
Tell whether the given side lengths of a triangle can represent a right triangle. 36, 48, and 60
Find the area of the isosceles triangle. 20 ft h 32 ft 20 ft
Solve the right triangle. Round decimal answers to the nearest tenth. N 65° Q 10 P
Use a sine or cosine ratio to find the value of each variable. Round decimals to the nearest tenth. W 71° 5 V
Find the value of each variable. Write your answer in simplest radical form. X 60° y 7√3
Solve the right triangle. Round decimal answers to the nearest tenth. R S 57° 15 T
Tell whether the given side lengths of a triangle can represent a right triangle. 6, 10, and 2√34
Describe and correct the error in writing a proportion for the given diagram. g 0/0 h || 0/4 = e f x
Tell whether the given side lengths of a triangle can represent a right triangle. 7, 14, and 7V5
Solve the right triangle. Round decimal answers to the nearest tenth. A 11 B 5 C
Find the area of the isosceles triangle. 10 cm h 12 cm 10 cm
Find the value of each variable. Write your answers in simplest radical form. X 15 60% y
Solve the right triangle. Round decimal answers to the nearest tenth. в 9 C 12 A
Describe the error in the statement of the tangent ratio. Correct the statement, if possible. Otherwise, write not possible. D 18 E 82 80 tan D=. F TI 18 82 x
Use a sine or cosine ratio to find the value of each variable. Round decimals to the nearest tenth. 26 43° r S
Find the unknown side length of the right triangle using the Pythagorean Theorem or a Pythagorean triple. 72 X 21
Find the value of each variable. Write your answers in simplest radical form. m V6 n
Find the value of the variable. Round decimal answers to the nearest tenth. А X 5
Tell whether the given side lengths of a triangle can represent a right triangle. 10, 12, and 20
Solve the right triangle. Round decimal answers to the nearest tenth. E 5.4 D 9.2 F
Use a sine or cosine ratio to find the value of each variable. Round decimals to the nearest tenth. 34 Р 64° 9
Solve the right triangle. Round decimal answers to the nearest tenth. E 3 D 9 F
Find the value of the variable. Round decimal answers to the nearest tenth. 12 18 у
Solve the right triangle. Round decimal answers to the nearest tenth. G H 14 53.2°
Find the value of each variable. Write your answers in simplest radical form. 24 30° 9 Р
Describe the error in the statement of the tangent ratio. Correct the statement, if possible. Otherwise, write not possible. A 18 30⁰ B tan 55° = 55° 18 BC x C
Find the unknown side length of the right triangle using the Pythagorean Theorem or a Pythagorean triple. 30 50 X
Use a sine or cosine ratio to find the value of each variable. Round decimals to the nearest tenth. 50° n 8
Which expression can be used to find the value of x in the triangle shown? 20 X 40°
Solve the right triangle. Round decimal answers to the nearest tenth. G 14 16 H J
Find the value of the variable. Round decimal answers to the nearest tenth. Z 16 27
In Exercises 15-23, decide if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse?10, 11, and 14
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