Pythagorean Theorem Word Problems

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Quizizz Content
FREE Resource
Student preview

15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
How do you find the length of the diagonal of a rectangle?
Back
To find the length of the diagonal (d) of a rectangle, use the Pythagorean Theorem: d = √(length² + width²).
3.
FLASHCARD QUESTION
Front
If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5.
4.
FLASHCARD QUESTION
Front
What is the distance formula derived from the Pythagorean Theorem?
Back
The distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by: d = √((x2 - x1)² + (y2 - y1)²).
5.
FLASHCARD QUESTION
Front
How do you solve a word problem involving the Pythagorean Theorem?
Back
Identify the right triangle, label the sides, apply the Pythagorean Theorem, and solve for the unknown side.
6.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2, where 1 is the length of the side opposite the 30-degree angle.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of each leg.
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Pythagorean Theorem

Flashcard
•
10th Grade
14 questions
Pythagorean Theorem

Flashcard
•
10th Grade
14 questions
Unit 7.1 Exit Ticket

Flashcard
•
10th Grade
14 questions
Hypotenuse, Opposite, or Adjacent

Flashcard
•
10th Grade
15 questions
Pythagorean Theorem

Flashcard
•
10th Grade
15 questions
Pythagorean Theorem

Flashcard
•
10th Grade
14 questions
Right Triangle Trig

Flashcard
•
10th Grade
15 questions
112-03-2024 BR Blk1 Pythagorean Theorem

Flashcard
•
10th Grade
Popular Resources on Wayground
15 questions
Hersheys' Travels Quiz (AM)

Quiz
•
6th - 8th Grade
20 questions
PBIS-HGMS

Quiz
•
6th - 8th Grade
30 questions
Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz
•
7th Grade
20 questions
Multiplication Facts

Quiz
•
3rd Grade
17 questions
MIXED Factoring Review

Quiz
•
KG - University
10 questions
Laws of Exponents

Quiz
•
9th Grade
10 questions
Characterization

Quiz
•
3rd - 7th Grade
10 questions
Multiply Fractions

Quiz
•
6th Grade