Math II · G-SRT.8.1

Derive and use trig ratios for 30-60-90 and 45-45-90 special right triangles.

Derive and use trig ratios for 30-60-90 and 45-45-90 special right triangles.

Concept Geometry
Domain Similarity, Right Triangles, and Trigonometry
Problem Types

Problem Templates In This Objective

9 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find separate leg and hypotenuse fields in a45-45-90 triangle

4 variants
Template 2

Use the symbolic1:√3:2 relationship in a30-60-90 triangle

4 variants
Template 3

Find missing side lengths in a 45-45-90 triangle using x, x, x sqrt(2)

4 variants
Template 4

Find numeric sides in a30-60-90 triangle

4 variants
Template 5

Derive separate exact sine, cosine, and tangent values at45°

4 variants
Template 6

Derive six separately labeled exact trig values at30° and60°

4 variants
Template 7

Apply the correct special right-triangle family in context

4 variants
Template 8

Choose whether to use a 45-45-90 triangle or a 30-60-90 triangle

4 variants
Template 9

Compare exact trigonometric values from special right triangles

4 variants