30-60-90 Triangles

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+1
Standards-aligned
Wayground Content
FREE Resource
Student preview

15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a 30-60-90 triangle?
Back
A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides opposite these angles are in the ratio 1 : √3 : 2.
Tags
CCSS.HSG.CO.C.10
2.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, if the shortest side (opposite the 30° angle) is 'x', then the side opposite the 60° angle is 'x√3', and the hypotenuse (opposite the 90° angle) is '2x'.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a 30-60-90 triangle?
Back
If the length of the shorter leg (opposite the 30° angle) is 'a', then the hypotenuse is '2a'.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
How do you find the length of the longer leg in a 30-60-90 triangle?
Back
If the length of the shorter leg (opposite the 30° angle) is 'a', then the longer leg (opposite the 60° angle) is 'a√3'.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
If the shorter leg of a 30-60-90 triangle is 6, what is the length of the hypotenuse?
Back
The hypotenuse is 12.
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
If the longer leg of a 30-60-90 triangle is 6√3, what is the length of the shorter leg?
Back
The shorter leg is 6.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What is the formula to find the area of a 30-60-90 triangle?
Back
Area = (1/2) * base * height. For a 30-60-90 triangle, Area = (1/2) * (shorter leg) * (longer leg) = (1/2) * x * (x√3) = (√3/2) * x².
Tags
CCSS.HSG.SRT.D.9
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
special right triangles

Flashcard
•
9th - 12th Grade
15 questions
45-45-90 Triangles

Flashcard
•
10th - 11th Grade
14 questions
Pythagorean Theorem Basics

Flashcard
•
9th - 12th Grade
15 questions
45 45 90 Right Triangles

Flashcard
•
9th - 12th Grade
14 questions
9.4 - Special Right Triangles

Flashcard
•
9th - 12th Grade
14 questions
Unit 4 Pythagorean Theorem

Flashcard
•
9th - 12th Grade
15 questions
45 45 90 Right Triangles

Flashcard
•
9th - 12th Grade
15 questions
45-45-90 Triangles (regular)

Flashcard
•
9th - 12th Grade
Popular Resources on Wayground
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
10 questions
Ice Breaker Trivia: Food from Around the World

Quiz
•
3rd - 12th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
20 questions
ELA Advisory Review

Quiz
•
7th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Multiplication and Division Unknowns

Quiz
•
3rd Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
29 questions
CCG 2.2.3 Area

Quiz
•
9th - 12th Grade
10 questions
SAT Focus: Geometry

Quiz
•
10th Grade
20 questions
Solving Multi-Step Equations

Quiz
•
10th Grade
10 questions
Decoding New Vocabulary Through Context Clues

Interactive video
•
6th - 10th Grade
9 questions
Geometry and Trigonometry Concepts

Interactive video
•
9th - 12th Grade
17 questions
Parallel lines cut by a transversal

Quiz
•
10th Grade
20 questions
Conditional Statements

Quiz
•
10th Grade
17 questions
Analyze Real-World Inequalities and Graphs

Quiz
•
9th - 12th Grade