assignment_returnWorksheet:
Pythagorean Theorem In Real-World Problems
Standard(s): 8.G.B.7
What is the length of side x?
1 cm
7 cm
10 cm
12.5 cm
Standard: 8.G.B.7
Domain: Geometry
Theme: Understand and apply the Pythagorean Theorem
Description: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
The diagonal of a square is approximately 1.4 times the length of a side of the square. If the diagonal of a square is 140 inches, what is the approximate length of one side of the square?
14 inches
35 inches
70 inches
100 inches
Standard: 8.G.B.7
Domain: Geometry
Theme: Understand and apply the Pythagorean Theorem
Description: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
The lengths of the sides of a right triangle are a, b, and c, as shown in the figure below. If a, b, and c are positive integers, which of the following could NOT be true?
a is even, b is even, c is even.
a is odd, b is odd, c is odd.
a is odd, b is even, c is odd.
All three possibilities are valid.
Standard: 8.G.B.7
Domain: Geometry
Theme: Understand and apply the Pythagorean Theorem
Description: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
Which of the following equations could be used to find the value of w?
w2 + 182 = 202
182 - w2 = 202
202 + 182 = w2
w + 18 = 20
Standard: 8.G.B.7
Domain: Geometry
Theme: Understand and apply the Pythagorean Theorem
Description: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
The bottom of a 17-foot ladder is placed on level ground 8 feet from the side of a house as shown in the figure below. Find the vertical height at which the top of the ladder touches the side of the house.
h = 9 feet
h = 12 feet
h = 15 feet
h = 18 feet
