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Classifying Triangles based on angle measures

Resource:
Classifying Triangles based on angle measures

Students solve for missing interior angles in triangles.  Triangles are on individual cards.  Students determine appropriate "angle" and "side" terms (acute, obtuse, right, scalene, isosceles, equilateral) and place the triangle cards into the table.  Opportunity to address why certain descriptions are impossible (such as an equilateral right triangle) and why it's impossible to have a triangle with more than 1 obtuse angle.

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• Unit 2

Finding the Height of Your School

Resource:
Finding the Height of Your School

Using right triangle trigonometry, students will be able to find the height of the school building.

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• Unit 4

#### Right Triangle Trigonometry

Parallax

Resource:
Parallax

Students will use distant buildings and the changing angles as they move in 1 direction to apply trig and find missing distances.

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• Unit 4

#### Right Triangle Trigonometry

Right Triangles Inscribed in Circles 1

Resource:
Right Triangles Inscribed in Circles 1

This task provides a good opportunity to use isosceles triangles and their properties to show an interesting and important result about triangles inscribed in a circle with one side of the triangle a diameter: the fact that these triangles are always right triangles is often referred to as Thales' theorem. It does not have a lot of formal prerequisites, just the knowledge that the sum of the three angles in a triangle is 180 degrees.

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• Unit 7

#### Circles

Right Triangles Inscribed in Circles 2

Resource:
Right Triangles Inscribed in Circles 2

The result here complements the fact, presented in the task ''Right triangles inscribed in circles I,'' that any triangle inscribed in a circle with one side being a diameter of the circle is a right triangle. A second common proof of this result rotates the triangle by 180 degrees about M and then shows that the quadrilateral, obtained by taking the union of these two triangles, is a rectangle.

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• Unit 7