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1. The degree ratio of the three inner angles of a triangle is 3:2:7. What is the largest angle? 2. There are three workshops in a factory. There are 90 people in workshop a. the number of people in workshop B is 4 / 5 of that in workshop a and 4 / 3 in workshop C. how many people are there in workshop C? 3. Xiaogang read a book, read 56 pages every day, read 4 days, just read 8 / 11 of the whole book. How many pages are there in this book? How many pages are left? 4. The tallest animal in the world is giraffe. A giraffe is 5 meters tall, 2 / 3 higher than an elephant. How many meters is the elephant tall?
There are three workshops in a factory. There are 90 people in workshop a, 4 / 5 in workshop B and 4 / 3 in workshop C. how many people are there in workshop C? B = 90 × (4 / 5) = 72 (pieces) C = 72
11. If the sum of the two inner angles of a triangle equals the degree of the third inner angle, then the triangle is ()
isosceles right triangle
Two base angles 45 degrees
2x+y=180
2x=y
The ratio of the three inner angles of a triangle is 2:5:11, which is ()
The ratio of the three inner angle degrees of a triangle is 2:5:11. This triangle is (obtuse angle triangle)
In a triangle, the degree ratio of two inner angles is 1:3. What is the degree of the smallest angle of the triangle?
Analysis: This is an inferential question. It can be inferred that the two inner angles of 1:3 are 1 degree, 3 degree, then the other angle is 176 degrees, which meets the internal angle standard of triangle; if the two internal angles are 10 degrees and 30 degrees, the other angle is 140 degrees, which meets the internal angle standard of triangle; if the minimum angle is among the two internal angles set, the other inner angle is greater than or equal to
If the ratio of the degrees of the three inner angles of a triangle is 1:2:3, then the ratio of the squares on the opposite sides of the three inner angles of the triangle is the ratio of the squares. Please state the reason or process. I only know that this triangle is a right angle triangle The second floor, by the way, can you revise it? 3：4
Let the three interior angles of a triangle be a, B, C, and their corresponding sides are a, B, C respectively, and a: B: C = 1:2:3. a = 180 ° * 1 / (! + 2 + 3) = 30 °∠ B = 180 ° * 2 / (1 + 2 + 3) = 60 °∠ C = 180 ° * 3 / (1 + 2 + 3) = 90 °. From the sine theorem, a / Sina = B / SINB = C / sinca / b = Sina / SINB = sin30 ° / sin
In an acute triangle, the degree of angle a is three times that of angle c, and that of angle B is twice that of angle C. how many degrees are these three inner angles calculated by equation?
Let the angle c be degree C
Angle a is 3 times of angle c = > angle a = 3C
Angle B is twice the angle c = > angle B = 2C
Three angles and three angles
A+B+C=180
3c+2c+c= 6c=180
c=30
The angle c degree is 30
Angle a is 3 times of angle c = > angle a = 3C = 90
Angle B is twice the angle c = > angle B = 2C = 60
One acute angle of a triangle is 65 ° and the ratio of the degrees of the other two inner angles is 2:3, which are () and ()
One acute angle of a triangle is 65 ° and the ratio of the degrees of the other two inner angles is 2:3, which are (46 ° and 69 ° respectively)
Because an acute angle is 65 degrees
The sum of the other two angles is 180 ° - 65 ° = 115 °
Because the ratio of the other two angles is 2:3
115÷（2+3）=23
One angle is 23 * 2 = 46 degrees
One angle is 23 * 3 = 69 degrees
9. Given that the degrees of the three interior angles of a triangle are prime numbers, then the triangle must have an inner angle equal to
In this paper, I consider this problem as follows: three addends with sum of 180 ° are composed: (1) all three addends must be even. (2) must be an even number and two odd numbers
In the acute angle △ ABC, the degrees of the three inner angles are prime numbers, and the length of the shortest side is 1 A. 1 B. 2 C. 3 D. More than 3
The prime numbers within 90 are: 2357 11 13 17 23 29 31 37 41 35 7 11 13 17 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 prime numbers are all odd except 2, and the addition of three odd numbers is also odd, and the degree of the sum of the interior angles of a triangle is 180, which is even. Therefore, there must be an angle whose degree is 2
Among the inner angles of a triangle, one of them is 159 ° and the degrees of the other two inner angles are prime numbers. There are () groups in total, which are: () ()（ Among the inner angles of a triangle, one of them is 159 ° and the degrees of the other two inner angles are prime numbers. There are () groups, which are: (), (), (), (), ()
Inside angle and 180
The remaining 180-159 = 21
2, 3, 5, 7, 11, 13, 17, 19... I see
RELATED INFORMATIONS
- 1. In the acute angle △ ABC, if the degrees of the three inner angles are prime numbers, then the triangle () A. There is only one isosceles triangle B. There are at least two isosceles triangles C. There is only one, but not an isosceles triangle D. There are at least two of them, including non isosceles triangles
- 2. Given that the ratio of the degrees of the three inner angles of a triangle is 4:1:1, then the triangle is () triangle 1. Right angle 2, acute angle 3, obtuse angle
- 3. In △ ABC, ∠ a = 1 / 3 ∠ B = 1 / 5 ∠ C, calculate the degree of each internal angle of a triangle
- 4. If the ratio of the three inner angles of a triangle is 9:4:5, then the triangle is ()
- 5. As shown in the figure, △ ABC is an isosceles right triangle, ∠ a = 90 ° and points P and Q are moving points on AB and AC respectively, and satisfy BP = AQ, D is the midpoint of BC (1) It is proved that △ PDQ is an isosceles right triangle; (2) When the point P moves to where, the quadrilateral apdq is square, and explain the reason
- 6. As shown in the figure, in △ ABC, ∠ BAC = 90 °, extend Ba to point d so that ad = half AB, points E and F are the midpoint of edge BC and AC respectively. Find DF = AE
- 7. As shown in the following figure, in Δ ABC, ∠ B = 90 ° and point P moves from point a to point B at the speed of 1cm / s along the edge of AB, and point Q starts from point B and moves along the edge of BC to point C Cm / sec.) (1) If P and Q start from a and B at the same time, and P to B continue to move on the BC side, and Q to C continue to move on the CA side. After a few seconds, the area of Δ PCQ is equal to 12.6 cm? 2 Point Q starts from point B and moves along the edge of BC towards point C at a speed of 2 cm / s
- 8. As shown in the figure, in △ ABC, ab = 6cm, BC = 8cm, ∠ B = 90 °, point P starts from point a and moves along side AB at a speed of 1cm / s, and point Q starts from point B along the edge of BC Point C moves at a speed of 2 cm / s 1) If the points P and Q start from a and B at the same time, after a few seconds, the area of △ PBQ is equal to 8cm? 2) If points P and Q start from a and B at the same time, and P reaches point B and then continues to move on edge BC, and Q reaches point C and then continues to move on edge Ca, after a few seconds, the area of △ PCQ is equal to 9cm?
- 9. In the triangle ABC, AC = 6cm, BC = 8cm, ab = 10cm, D, e, f are the midpoint of AB, BC and Ca, respectively. Calculate the area of triangle def
- 10. In the triangle ABC, angle B = 90 °, ab = 6, BC = 3, point P moves from point a to side AB at a speed of 1cm / s, and point Q moves at 2cm / s At the same time, what is the distance from the starting point of PQ B to the starting point B of PQ, respectively, if the starting point of PQ B is equal to the starting point of B?
- 11. In ABC + S 2, we find the maximum area of △ 2, C = 2 for the root of ABC
- 12. In the triangle ABC, angle c + angle a = 2, angle B, angle c - angle a = 80 degrees, calculate the angles a, B, C for several degrees and tell how to calculate them
- 13. In the triangle ABC, the angle a plus the angle B is equal to the angle c, and the angle B is equal to twice the angle A. find the degree of the angle a, the angle B and the angle C
- 14. If an isosceles triangle has a right angle and its area is 50 square centimeters, then the sum of its two right angles is______ Centimeter
- 15. If the area of a triangle is 30 square centimeters less than that of a parallelogram equal to its base and height, what is the area of the triangle?
- 16. The area of a parallelogram is 24 square centimeters. What is the area of the triangle with its equal base and height?
- 17. The circumference of a circular flower bed is 31.4 meters, and 2 / 5 of the poisonous land in the flower bed is planted with roses. How many square meters is the planting area of rose flowers?
- 18. 1. Around a circular flower bed with a diameter of 16 meters, there is a stone road with a width of 2 meters. What is the area of this stone road? 2. The bottom surface of a wooden basin is round. A 2.552m long iron wire is enclosed at its bottom, and 0.04m is used at the wire joint. What is the diameter of the bottom surface of the basin?
- 19. The perimeter of a circular flower bed is 18.84m. A stone road with a width of 0.5m is paved around it to calculate the area of the stone road
- 20. There is a circular flower bed with a diameter of 16m, and a 2m wide path is built around it (1) What is the area of this path? (2) How many lamps should be installed along the edge of the circular path every 5m?