Triangle in ENEM Solved Exercises

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Escola de Números com Thyago Araujo

Published on Oct 22, 2020
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Having trouble with plane geometry? In this Math video lesson, you will learn how triangles appear on the ENEM exam and how to solve questions involving the area of ​​a triangle, classification of triangles (isosceles, equilateral and scalene), Pythagorean theorem and several tips. To download the exercise lists in PDF to practice, click on the link below. SUBSCRIBE TO THE CHANNEL AND LEAVE THE LIKE to strengthen List link: https://thyagoaraujo.com/listas-de-qu... Study with me and be successful in Math. ONLINE MATHEMATICS PLATFORM: https://www.thyagoaraujo.com Follow us on social media: ► Instagram: / escoladenumeros ► Twitter: / escoladenumeros Solved questions from previous ENEM exams 01. (ENEM-2018) Sliding seat rowing is a sport that uses a boat and two oars of the same size. The figure shows one of the positions of a technique called spreading apart. In this position, the two oars meet at point A and their other ends are indicated by points B and C. These three points form a triangle ABC whose angle BÂC measures 170°. The type of triangle with vertices at points A, B, and C, at the moment the rower is in this position, is a) scalene rectangle. b) scalene acute-angled. c) isosceles acute-angled. d) scalene obtuse-angled. e) isosceles obtuse-angled. 02. (ENEM-2018) The slope of a ramp is calculated as follows: for each meter measured horizontally, x centimeters are measured vertically. In this case, it is said that the ramp has a slope of x%, as in the example in the figure: The figure shows a design for an access ramp to a residential garage whose base, located 2 meters below street level, is 8 meters long. After the ramp was designed, the person responsible for the work was informed that the technical standards of the municipality where it is located require that the maximum slope of an access ramp to a residential garage be 20%. If the designed ramp has a slope greater than 20%, the level of the garage must be changed to reduce the percentage of slope, maintaining the length of the base of the ramp. To comply with the technical standards of the municipality, the level of the garage must be a) raised by 40 cm. b) raised by 50 cm. c) kept at the same level. d) lowered by 40 cm. e) lowered by 50 cm. 03. (ENEM-2017) The headline shows that the transportation of large loads is increasingly a concern when done on urban roads. Truck gets stuck on overpass in the Center A large truck got stuck under the overpass at the intersection of Borges de Medeiros and Loureiro da Silva avenues in the direction of Center-Bairro, near Ponte de Pedra, in the capital. This vehicle was traveling from São Paulo to Porto Alegre and was carrying three large pipes, as shown in the photo. Consider that the outer radius of each pipe in the image is 0.60 m and that they are on top of a truck whose top is 1.30 m above the ground. The drawing represents the rear view of the stacking of the pipes. The recommended safety margin for a vehicle to pass under an overpass is that the total height of the vehicle with the load be at least 0.50 m less than the height of the overpass span. Consider 1.7 as an approximation for (3)1/2 What should be the minimum height of the overpass, in meters, so that this truck could pass safely under its span? a) 2.82. b) 3.52. c) 3.70. d) 4.02. e) 4.20. 04. (ENEM-2014) A child wants to create triangles using matchsticks of the same length. Each triangle will be built with exactly 17 toothpicks and at least one of the sides of the triangle must be exactly 6 toothpicks long. The figure illustrates a triangle built with these characteristics. The maximum number of non-congruent triangles two by two that can be built is a) 3. b) 5. c) 6. d) 8. e) 10. 05. (ENEM-2014) A person has a rectangular space with sides of 11.5 m and 14 m in his backyard and intends to make a domestic apple orchard. When researching the planting of this fruit, he discovered that apple seedlings should be planted in holes with a single seedling and with a minimum spacing of 3 meters between them and between them and the sides of the land. He knows that he will be able to plant a greater number of seedlings in his orchard if he arranges the holes in rows aligned parallel to the longest side. The maximum number of seedlings that this person can plant in the available space is a) 4. b) 8. c) 9. d) 12. e) 20. #enem #escoladenumeros

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