30-60-90 Triangle Ratios
Grade 10th Grade · Math · 45 min
What's Included
Learning Objective
I can determine the side lengths of a 30-60-90 triangle using the ratio relationships.
Warm-Up Video
Khan Academy · 4:49
30-60-90 Triangles II
Guided Notes
3 key concepts
- 1
In a 30-60-90 triangle, the side opposite the 30-degree angle is always half the length of the hypotenuse.
- 2
In a 30-60-90 triangle, the side opposite the 60-degree angle is equal to √3/2 times the length of the hypotenuse.
- 3
To rationalize a denominator that includes a square root, multiply both the numerator and the denominator by the square root in the denominator.
Practice Questions
10 questions · Multiple choice & Short answer
Exit Ticket
Quick comprehension check
“A 30-60-90 triangle has a hypotenuse of length 8. What be the lengths of the other two sides? Show your work.”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
