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[DOC File]Day 1: Triangles and similarity
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The triangle on the right is an equilateral triangle, in which all three sides and angles are equal. The vertical line is an altitude, meeting the side in a right angle. Using this information, but with no knowledge of what the numerical lengths of the side or altitude are, find the sine and cosine of the angle at B.

[DOCX File]What is true about the sides of a triangle?
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Students will develop a complete understanding of triangles including proving theorems such as the measure of the interior angles of a triangle sum to 180 degrees, the inequality theorem, relationship of exterior angles to the two non-adjacent angles, joining midpoints of two sides of a triangle is parallel to the third side and half the length.

[DOC File]Taxicab Geometry - University of Houston
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Equilateral triangles exercise: Sketch an EG equilateral triangle with side measure 4 and the left vertex at the origin. What are the coordinates of the apex angle? Is it TCG equilateral? nope…the sides are not length 4, they are an irrational length. Sketch a TCG equilateral triangle side length 4 with the base starting on the left at

[DOC File]Discovering Special Triangles Learning Task
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The construction manager, Adam, also needs to know the altitude of the smaller triangle within the sign. Each side of this smaller equilateral triangle is 1 ft. long. Prove that . the altitude of this equilateral triangle is . Now that we have found the altitudes of both equilateral triangles, we look for patterns in the data.

[DOC File]Math Club Worksheet #1
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Isosceles triangles are triangles with two sides of equal length and two angles of equal degree. Equilateral triangles are triangles with three sides of equal length and three angles of equal degree. Fill in the missing angles. 2. Fill in the missing angles. (Hint: this is an _____ triangle) 3. Fill in the missing angles and side length K.

[DOC File]Right Triangles
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The perimeter of an equilateral triangle is 30 cm. Find the length of an altitude (now, what is an altitude???) 9. An isosceles triangle has sides 10, 10 and 12. How long is the altitude to the base?? Chapter 8 Review Right Triangles (1) Solve for x given each of the right triangles below, with sides as indicated. (a) (b) (2)

[DOC File]Physics Main | Physics
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Three point charges have equal magnitudes, two being positive and one negative. These charges are fixed to the corners of an equilateral triangle, as the drawing shows. The magnitude of each of the charges is 5.0 µC, and the lengths of the sides of the triangle are 4.0 cm. Calculate the magnitude of the . Electric Field . at point B.

[DOCX File]DrFrostMaths.com
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A hexagon is made by cutting a small equilateral triangle from each corner of a larger equilateral triangle. The sides of the smaller triangles have lengths 1, 2 and 3 units. The lengths of the perimeters of the hexagon and the original triangle are in the ratio 5:7.

Activity overview:
Complete the following statement: The sum of the distances from any point in the interior of an equilateral triangle to the sides of the triangle is _____. Problem 4 – Exploring the Orthocenter of a Medial Triangle. The . medial triangle. is the triangle formed by connecting the midpoints of the sides of a triangle.

[DOCX File]Geometry: Mapping Objectives
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Triangle, Vertex, Sides, Scalene, Isosceles, Equilateral, Acute triangle, Obtuse triangle, Right triangle, Equiangular triangle, Exterior angle, Remote interior angles, Convex polygons, Non-convex polygons, Concave polygons, Diagonal, Regular polygon ... Students will calculate the length of an arc of a circle. Students will calculate the area ...

[DOC File]Nested Squares - Chandler Unified School District
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Draw an equilateral triangle. Connect the midpoints of your sides with straight lines, which should form a smaller inverted equilateral triangle in the middle of the original triangle. The triangle you just drew is “removed” from the original. Now in the remaining three equilateral potions, remove another set of triangles by connecting the ...

[DOC File]Geometry and Trigonometry
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The triangle below is isosceles where the equal sides are each 1 unit in length. The hypotenuse is √2 units in length. Given the sides of a Triangle, Calculate the Angles. Given a value of sin Ө, cos Ө or tan Ө, we can find the value of the angle Ө using the sin-1, cos-1 or tan-1 keys, respectively.

[DOC File]Trans Geo-1
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3. The midpoints of the sides of an equilateral triangle are joined to form a smaller triangle of perimeter 24. Find the length of one side of the original triangle. 4. Three sides of a triangle measure 10, 12, and 18. Find the perimeter of a similar triangle whose longest side measures 7.2. 5.

Equilateral triangle calculate sides