Finding Missing Sides with Pythagoras
Learning Objective
I can use the Pythagorean theorem to find missing side lengths of right triangles, relating them to the angles.
Lesson Flow
Watch Video
How Special Right Triangles Work | 45-45-90 and 30-60-90
Does Math for Coffee
Guided Notes
Key concepts students will learn:
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In a 45-45-90 triangle, the two sides opposite the 45 degree angles are congruent, and the hypotenuse is equal to the side length times the square root of 2.
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In a 30-60-90 triangle, the shortest side is opposite the 30 degree angle, and the hypotenuse is twice the length of the shortest side.
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In a 30-60-90 triangle, the longer leg is equal to the short side times the square root of 3.
Practice
12 questions • Multiple choice & Short answer
Exit Ticket
“In a 45-45-90 triangle, one of the legs has a length of 7. What is the length of the hypotenuse? Show your work.”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
