use the Pythagorean Theorem which says that when a triangle has a right angle of 90 degrees, and squares are made on each of the three sides, then the biggest square has the exact same area as the other two squares put together. The Pythagorean Theorem can be written as: a^2 + b^2 = c^2 with “c” being the longest side or otherwise called the hypotenuse of the triangle, and “a” and “b” are the other two sides of the triangle. In a right triangle the square of the hypotenuse is equal to the sum of
Words: 648 - Pages: 3
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. 5-5 The Triangle Inequality Is it possible to form a triangle with the given side lengths? If not, explain why not. 1. 5 cm, 7 cm, 10 cm SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5 ANSWER: Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5 2. 3 in., 4 in., 8 in. SOLUTION:
Words: 9291 - Pages: 38
“Sea Venture” In 1609 the Virginia Company had a decision to make. Continue business as usual and allow the settlers in Jamestown to slowly perish, and not recoup any money for its investors, or drum up more investors and send the single largest group of settlers the New World had seen. The decision that Thomas Smythe and the Virginia Company made would lead to the settlement of a new land, and save Jamestown. In February 1609, the Virginia Company acquired a new charter for Jamestown, the Second
Words: 2020 - Pages: 9
with sales in more than 150 countries. The company sells in excess of 200 million bottles per year in nearly 100 countries. The company's sales in 2007 were $5.5 billion, up from $4.9 billion in 2006. Bacardi headquarters is located in Hamilton, Bermuda and has a 16-member board of directors led by the original founder's great-great grandson, Facundo L. Bacardí. Since its creation in 1862 in Cuba, Bacardi has survived the chaos that accompanied the Cuban 10-years war, Castro, and Guvera. Cuba maintains
Words: 251 - Pages: 2
can assume that his and Vanessa’s paces should end up in the same place. If I sketch out this scenario on paper, I see that I have a right triangle with 2x + 6 being the length of the hypotenuse, and 2x + 4 being the legs of the triangle. I now can use the Pythagorean Theorem to solve for x. The Pythagorean Theorem states that in every right triangle with legs of length a and b and hypotenuse of c, these lengths have the relationship of a2 + b2 = c2. So if I put these measurements into the
Words: 625 - Pages: 3
Chapter 3: Triangles / Polygons Lesson 3-3: Triangle Inequalities Homework name ________________________ date ______________ period ___ For each set of lengths, determine whether it is possible to draw a triangle with sides of the given measures. If possible, write yes. If not possible, write no. 1. 3, 4, 5 _____ 2. 4, 9, 5 _____ 3. 5, 6, 12 _____ 4. 7, 3.5, 4.5 _____ 5. 4, 5, 8.5 _____ 6. .5, 1.2. .6 _____ The lengths of two sides of a triangle are given. Find the two
Words: 264 - Pages: 2
Proportionality Theorem and its converse 3. Similarity Between triangles 4.2 Similar figures 4.3 Similar polygons 4.4 Similar triangles 4.5 Similarity Theorems 4.6 Application 4. Similarities in a right triangle 5.7 Similarity theorem 5.8 Special right triangle * Isosceles right triangle * 30-60-90 triangle 5. Ratio between the perimeters and areas of similar triangle Definition of Ratio Ratio is a comparison of two numbers
Words: 269 - Pages: 2
Exactly one solution exists, and a right triangle is determined. This occurs, for example, when a = 3 , b = 3 , and B = 45 o . 3. If the side opposite the given angle is shorter than the other given side, but longer than in case (2), then < 1 , and two triangles are determined, one in which A = x o , and one in which A = 180 o - x o . 4. If the side opposite the given angle is equal in length to the other given side, then A = B , and one isosceles triangle is determined. 5. If the side opposite
Words: 483 - Pages: 2
* Symbol for an angle is: ∠ * Symbol for triangle is: ∆ * Symbol for measured angle: * Symbol for spherical angle: * Symbol for right angle: ∟ 3. Display the tests for triangle congruence * Three sides equal (SSS): Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other. * * * * * * Two sides and included angle (SAS): Triangles are congruent if any pair of corresponding sides
Words: 289 - Pages: 2
Geometry In Art. 1. Right Triangle 2. Obtuse Triangle 3. Parallel Lines 4. Perpendicular Lines 5. Square 6. Octagon 7. Trapezoid 8. Circle 9. Acute Triangle 10.Parallelogram Table Of Contents. http://etc.usf.edu/clipart/41700/41747/fc_righttri_41747.htm http://www.learnalberta.ca/content/memg/Division02/Obtuse%20Triangle/index.html http://library.thinkquest.org/20991/geo/parallel.html http://www.northstarmath.com/sitemap/ParallelandPerpendicularLines
Words: 281 - Pages: 2
