U11 L3 Special Right Triangles Lesson.notebook...U11 L3 Special Right Triangles Lesson.notebook x y...
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U11 L3 Special Right Triangles Lesson.notebook x y DO NOW! Find the value of the trig function indicated given a point on the terminal side of the angle! 1. Draw the angle in standard positon 2. Make a reference triangle. 3. IF a side is missing that we need, use a 2 +b 2 =c 2 4. Use SOHCAHTOA to write your equation Recall the directions from Friday! Special Right Triangles Day 1 Day 2 U11 L3
Transcript of U11 L3 Special Right Triangles Lesson.notebook...U11 L3 Special Right Triangles Lesson.notebook x y...
U11 L3 Special Right Triangles Lesson.notebook
x
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DO NOW!Find the value of the trig function indicated given a point on the terminal side of the angle!
1. Draw the angle in standard positon
2. Make a reference triangle.
3. IF a side is missing that we need, use a2 + b2 = c2
4. Use SOHCAHTOA to write your equation
Recall the directions from Friday!
Special Right Triangles
Day 1 Day 2
U11 L3
U11 L3 Special Right Triangles Lesson.notebook
Should a radical appear in the denominator of a fraction, it will need to be "removed" if you are trying to simplify the expression.
Rationalizing the denominator: multiply the top and bottom of the fraction by that same radical to create a rational number in the denominator.
ex) 2√3
If the side of a square is x, use the Pythagorean Theorem to find the hypotenuse in terms of x!
Draw a square with one diagonal.
What kind of triangles are formed?
Isosceles Right Triangles, or the 45o45o90o triangle!
U11 L3 Special Right Triangles Lesson.notebook
Solve for x. Do you see a pattern?
The 45o45o90o Relationship
U11 L3 Special Right Triangles Lesson.notebook
Remember:
Solve for x.Solve for x.
use the shortcut we discovered!
Remember:
Solve for x.
set 8 = x√2 & solve for x!
Should a radical appear in the denominator of a fraction, it will need to be "removed" if you are trying to simplify the expression.
Rationalizing the denominator: multiply the top and bottom of the fraction by that same radical to create a rational number in the denominator.
look!!
rationalize!
Or, use Pythagorean Theorem
U11 L3 Special Right Triangles Lesson.notebook
SHORTCUT If you know the hypotenuse of a 45o45o90o triangle, each leg = 1/2 the hypotenuse x √2
times
set 6=x√2
Don't forget to rationalize the denominator!!
Or, use Pythagorean Theorem
U11 L3 Day 1
Special Right Triangles
Homework online
U11 L3 Special Right Triangles Lesson.notebook
Draw an equilateral triangle.
Now, draw in an altitude.
What type of triangles are formed?
What do we already know about the sides of a 30‐60‐90 triangle?
If we know one side, can we find the other two?
Pick a # that's easy to work with...
U11 L3 Special Right Triangles Lesson.notebook
Solve for x.
Do you see a pattern?
The 30o-60o-90o Relationship
U11 L3 Special Right Triangles Lesson.notebook
Using the x, x , 2x Pattern
Harder examples
Don't forget to rationalize the denominator!!
USE THIS
U11 L3 Special Right Triangles Lesson.notebook
You need to memorize these special right triangle relationships!!
U11 L3 Day 2
Special Right Triangles
Homework online
U11 L3 Special Right Triangles Lesson.notebook
