P Preliminary Concepts 1 Line And Angle Relationships 2 Parallel Lines 3 Triangles 4 Quadrilaterals 5 Similar Triangles 6 Circles 7 Locus And Concurrence 8 Areas Of Polygons And Circles 9 Surfaces And Solids 10 Analytic Geometry 11 Introduction To Trigonometry A Appendix Chapter5: Similar Triangles
5.1 Ratios, Rates And Proportions 5.2 Similar Polygons 5.3 Proving Triangles Similar 5.4 The Pythagorean Theorem 5.5 Special Right Triangles 5.6 Segments Divided Proportionally 5.CR Review Exercises 5.CT Test Section5.5: Special Right Triangles
Problem 1E: For the 45-45-90 triangle shown, suppose that AC=a. Find: a BC b AB Problem 2E: For the 45-45-90 triangle shown, suppose that AB=a2. Find: a AC b BC Problem 3E: For the 30-60-90 triangle shown, suppose that XZ=a. Find: a YZ b XY Problem 4E: For the 30-60-90 triangle shown, suppose that XY=2a. Find: a XZ b YZ Problem 5E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 6E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 7E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 8E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 9E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 10E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 11E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 12E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 13E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 14E: In Exercises 5 to 22, find the missing lengths. Give your answers in both simplest radical form and... Problem 15E Problem 16E Problem 17E Problem 18E: In Exercises 15 to 19, create drawings as needed. Given: XYZ with XYXZYZ ZWXY with W on XY YZ=6... Problem 19E: In Exercises15 to 19, create drawing as needed. Given: Square ABCD with diagonals DB and AC... Problem 20E: Given: NQM with angles as shown in the drawing MPNQ Find: NM,MP,MQ, PQ, and NQ Problem 21E: Given: XYZ with angles as shown in the drawing Find: XY HINT: Compare this drawing to the one for... Problem 22E: Given: Rhombus ABCD not shown in which diagonals AC and DB intersect at point E; DB=AB=8 Find: AC Problem 23E Problem 24E: To unload groceries from a delivery truck at the Piggly Wiggly Market, an 8-ft ramp that rises 4 ft... Problem 25E: A jogger runs along two sides of an open rectangular lot. If the first side of the lot is 200 ft... Problem 26E Problem 27E Problem 28E: In Exercises 27 to 33, give both exact solutions and approximate solutions to two decimal places.... Problem 29E Problem 30E Problem 31E: In Exercises 27 to 33, give both exact solutions and approximate solutions to two decimal places.... Problem 32E: In Exercises 27 to 33, give both exact solutions and approximate solutions to two decimal places.... Problem 33E: In Exercises 27 to 33, give both exact solutions and approximate solutions to two decimal places.... Problem 34E: Note: Exercises preceded by an asterisk are of a more challenging nature. Given: Isosceles trapezoid... Problem 35E: In regular hexagon ABCDEF, AB=6 inches. Find the exact length of a diagonal BF b diagonal CF Problem 36E: In regular hexagon ABCDEF, the length of AB is x centimeters. In terms of x find the length of a... Problem 37E: In right triangle XYZ, XY=3 and YZ=4. If V is the midpoint of YZ and mVWZ=90, find VW. HINT: Draw... Problem 38E: Diagonal EC separates pentagon ABCDE into square ABCE and isosceles triangle DEC. If AB=8 and DC=5,... Problem 39E: For equilateral RST, RT=6. Squares and triangles on the sides form hexagon ABCDEF. Find the... Problem 24E: To unload groceries from a delivery truck at the Piggly Wiggly Market, an 8-ft ramp that rises 4 ft...
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If a loading ramp is placed next to a truck, at a height of 6 feet, and the ramp is 23 feet long, what angle does the ramp make with the ground?
Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.
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