45-45-90 and 30-60-90 Triangles

45-45-90 and 30-60-90 Triangles

Grade 10th Grade · Math · 45 min

What's Included

Learning Objective

I can calculate the side lengths of 45-45-90 and 30-60-90 triangles.

Warm-Up Video

Khan Academy · 5:42

45-45-90 triangle side ratios | Right triangles and trigonometry | Geometry | Khan Academy

Guided Notes

3 key concepts

  • 1

    A 45-45-90 triangle is also known as a right isosceles triangle because it has a right angle and two equal sides.

  • 2

    In a 45-45-90 triangle, if both legs are length x, the hypotenuse is equal to x√2.

  • 3

    The ratio of the sides in a 45-45-90 triangle is 1 to 1 to √2.

Practice Questions

10 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

In a 45-45-90 triangle, one of the legs has a length of 7. What are the lengths of the other leg and the hypotenuse?

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher Guide
Student Doc
Slides