3.4 Solve Geometry Applications: Triangles, Rectangles and the Pythagorean Theorem Quiz
The question sheet
Reveal any answer as you study-
A shopping mall playground is a triangle with base 30 inches and height 40 inches. What area value fits these dimensions?
- 1200 square inches
- 140 square inches
- 70 square inches
- 600 square inches
Reveal answer
Answer: 600 square inches
Source evidence
PDF page 415: of a triangle are 22 and 85 degrees. shopping mall is a triangle with base 30 inches and height 40
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A triangle has a perimeter of 48 feet with two sides of 19 feet and 14 feet. How long is the third side?
- 24 feet
- 15 feet
- 19 feet
- 33 feet
Reveal answer
Answer: 15 feet
Source evidence
PDF page 415: Find the measure of the third perimeter 48 feet. The lengths of inches. What is its area?
PDF page 415: angle. two sides are 19 feet and 14 feet. How long is the third side?
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Two angles of a triangle are 22 and 85 degrees. What is the measure of the third angle?
- 63 degrees
- 107 degrees
- 73 degrees
- 83 degrees
Reveal answer
Answer: 73 degrees
Source evidence
PDF page 415: of a triangle are 22 and 85 degrees. shopping mall is a triangle with base 30 inches and height 40
PDF page 415: Find the measure of the third perimeter 48 feet. The lengths of inches. What is its area?
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Which theorem is used to find the length of the hypotenuse of a right triangle?
- Distributive Property
- Pythagorean Theorem
- Subtraction Property
- Square Root Property
Reveal answer
Answer: Pythagorean Theorem
Source evidence
PDF page 416: Use the Pythagorean Theorem In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse. 399. 400.
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When using the Pythagorean Theorem to find a missing side, the instructions say to round to the nearest what?
- Nearest whole number
- Nearest ten
- Nearest hundredth
- Nearest tenth
Reveal answer
Answer: Nearest tenth
Source evidence
PDF page 416: In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 401. 402. 403.
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Sergio's antenna is 8 feet tall and he has 10 feet of wire. Using the Pythagorean Theorem, how far from the base can he attach it?
- 6 feet
- 2 feet
- 12 feet
- 18 feet
Reveal answer
Answer: 6 feet
Source evidence
PDF page 416: to hold the antenna to the roof of his garage. The shelves are 36 his house, as shown in the figure. inches wide and 15 inches tall. He The antenna is 8 feet tall and wants to put a diagonal brace Sergio has 10 feet of wire. How far across the back to stabilize the from the base of the antenna can shelves, as shown. How long he attach the wire? should the brace be?
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A brace is placed diagonally across shelves 36 inches wide and 15 inches tall. Using the Pythagorean Theorem, how long is the brace?
- 33 inches
- 21 inches
- 39 inches
- 51 inches
Reveal answer
Answer: 39 inches
Source evidence
PDF page 416: to hold the antenna to the roof of his garage. The shelves are 36 his house, as shown in the figure. inches wide and 15 inches tall. He The antenna is 8 feet tall and wants to put a diagonal brace Sergio has 10 feet of wire. How far across the back to stabilize the from the base of the antenna can shelves, as shown. How long he attach the wire? should the brace be?
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A rectangular house is 4 feet wide by 45 feet long. What is its perimeter?
- 90 feet
- 180 feet
- 98 feet
- 49 feet
Reveal answer
Answer: 98 feet
Source evidence
PDF page 417: four feet wide by 45 feet long. Find 38 meters. What is the width? Find the a perimeter b area. the a perimeter b area.
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A rectangle has a length of 45 centimeters and an area of 2,700 square centimeters. What is the width?
- 60 centimeters
- 55 centimeters
- 45 centimeters
- 54 centimeters
Reveal answer
Answer: 60 centimeters
Source evidence
PDF page 417: 45 centimeters. The area is 2,700 12 cm more than the width. The three more than twice the length.
PDF page 417: square centimeters. What is the perimeter is 74 cm. Find the length The perimeter is 96 inches. Find the
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A rectangle has an area of 2356 square meters and a length of 38 meters. What is the width?
- 72 meters
- 62 meters
- 60 meters
- 58 meters
Reveal answer
Answer: 62 meters
Source evidence
PDF page 417: 36 feet and the width is 19 feet. house is in the shape of a rectangle 2356 square meters. The length is
PDF page 417: four feet wide by 45 feet long. Find 38 meters. What is the width? Find the a perimeter b area. the a perimeter b area.
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For the exercises on triangles, the source says to solve using what?
- Triangle properties
- The Quadratic Formula
- The discriminant
- Rectangle properties
Reveal answer
Answer: Triangle properties
Source evidence
PDF page 415: Solve Applications Using Triangle Properties In the following exercises, solve using triangle properties.
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When solving these geometry applications, approximate answers to the nearest what?
- Nearest tenth
- Nearest whole number
- Nearest hundredth
- Nearest hundred
Reveal answer
Answer: Nearest tenth
Source evidence
PDF page 416: In the following exercises, solve. Approximate to the nearest tenth, if necessary.
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