Mr Hickman's Class 2022-2023
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Right triangles and Similarity

Pythagorean Theorem and Solving Right Triangles 


Types of Problems

Determine the exact length of a hypotenuse of a right triangle given its legs

Determine the exact length of a leg given a leg and a hypotenuse

Determine if three numbers are sides of a right triangle

Use similarity with Pythagorean triples to find missing sides of a right triangle

Practice 

KUTA Practice Pythagorean Theorem
right_triangle_trig_missing_sides_and_angles.pdf
KUTA Practice Simplification of Radicals
simplifying_radicalsoperations_with_radicals.pdf 
KUTA Practice Simplification of Radicals 
a.3_simplifying_radicals_hw.pdf
KUTA Practice Simplification of Radicals 
simplifying_radicals.pdf
VIDEO EXPLANATION
Kuta Simplification of Radicals part 1
www.youtube.com/watch?v=6vMIcDT8gQ8 
VIDEO EXPLANATION
Kuta Simplification of Radicals part 2
www.youtube.com/watch?v=DBlkz9y9GzM
VIDEO EXPLANATION
Kuta Simplification of Radicals part 3
www.youtube.com/watch?v=EzkUH8q5nvg

Additional Resources

KHAN Academy Link 
www.khanacademy.org/math/basic-geo/basic-geometry-pythagorean-theorem/geo-pythagorean-theorem/v/the-pythagorean-theorem
CK 12 Link
www.ck12.org/book/CK-12-Basic-Algebra-Concepts/section/11.6/ 
CK 12 Link 2
​https://www.ck12.org/c/geometry/the-pythagorean-theorem/
YOU TUBE Link 1
www.youtube.com/watch?v=WqhlG3Vakw8
YOU TUBE Link 2
Eddie Woo Video
www.youtube.com/watch?v=tTHhBE5lYTg
YOU TUBE Link 3
YAY Math
www.youtube.com/watch?v=D_y_owf1WsI
YOU TUBE Link 4
Pythagorean Theorem Word Problems
www.youtube.com/watch?v=WahcBl1zUEQ

Special Right Triangles 


Types of problems 

Determine missing sides of a special right triangle 

Determine the missing parts of special polygons (regular hexagon, equilateral triangle, squares)

Determine the relationships between the legs of special right triangles and their hypotenuse

Solving equations that involve radicals

Practice

QUIZIZZ

Picture

KUTA Practice with answers
8-special_right_triangles.pdf
VIDEO Explanation for
KUTA Worksheet 1-6
www.youtube.com/watch?v=2peoKOiriDU
Video Explanation for
KUTA Worksheet 7-12
www.youtube.com/watch?v=7EWiOx4i_K8
Video Explanation for
KUTA Worksheet 13-18
​www.youtube.com/watch?v=VQIU17cTzVk

​

Additional Resources

KHAN Academy link 
45/45/90 special right triangles
www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-special-right-triangles/v/45-45-90-triangles

​
 KHAN Academy link
​30/60/90 special right triangles 
​https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-special-right-triangles/v/intro-to-30-60-90-triangles
YOU Tube Link 1
www.youtube.com/watch?v=nVTtSE5nv7c
YOU TUBE Link 2
​45/45/90
www.youtube.com/watch?v=83jIoZ0EPuQ
YOU TUBE Link 3
30/60/90
www.youtube.com/watch?v=jHzpHWlqptM
Online Learning Link 
www.onlinemathlearning.com/special-right-triangles.html

Geometric Mean


Types of Problems:

Find missing side lengths of right triangles related to the geometric mean of a right triangle 
Determine the geometric mean between two numbers 

Practice 

Practice Worksheet 
with answers
geometric_mean_ws-1.pdf
Practice Worksheet with answers 
8.1-8.2_geometric_mean_and_right_triangles.pdf
Practice Worksheet with answers (no blank version)
​8-18-geometric_mean_worksheet-key.pdf

Additional Resources

Khan Academy Link
​www.khanacademy.org/math/geometry/hs-geo-similarity/hs-geo-solving-similar-triangles/v/similarity-example-where-same-side-plays-different-roles
CK 12 Link 
www.ck12.org/c/geometry/inscribed-similar-triangles/
YOU TUBE Link  1
www.youtube.com/watch?v=e15GF1af6VA
YOU TUBE Link  2
www.youtube.com/watch?v=PXBFDBmBP0I
GUIDED Notes 
www.anderson5.net/cms/lib02/SC01001931/Centricity/Domain/3963/8.1%20Geometric%20Mean.pdf


Additional Resources


Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you