Special Right Triangles and Trigonometric Ratios

Unit 7 Lesson 7.4: ​

Trig Ratios for Special

Right Triangles

MT: Solving Applied Problems & Modeling in Geometry

REVIEW:

​Basic Trig Ratios:

REVIEW:

​45-45-90 Triangle

Constant Ratio:​

x : x : x√​2

leg1 leg2 hypotenuse​

​

IF GIVEN THE HYPOTENUSE FIRST:​

Shortcut:

1. Divide the hypotenuse by 2.

2. Add a √​2 to the end.

3. Simplify if necessary​

REVIEW:

​30-60-90 Triangle

Constant Ratio:​

x : x√3 : 2x

short leg long leg hypotenuse​

​

IF GIVEN THE LONG LEG FIRST:​

Shortcut:

1. Divide the long leg by 3.

2. Add a √​3 to the end.

3. Simplify if necessary​