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The sum of internal angles of trapezoid and parallelogram is 360 degrees______ (judge right or wrong)
Because both parallelogram and trapezoid are quadrilateral, the sum of internal angles of trapezoid and parallelogram is 360 degrees
Application of triangle inner angle sum theorem in real life
Pythagorean theorem with fixed support
Proof of Roche geometry
The vertical and oblique lines of the same line do not necessarily intersect. When two lines perpendicular to the same line are extended at both ends, they disperse to infinity. There are no similar but unequal polygons. If three points are not on the same line, they may not be able to make a circle, which is incomprehensible
The difference between the axiom system of robachevsky's geometry and that of Euclidean geometry is that the geometric parallel axiom of "a pair of scattered straight lines are infinitely far away on both sides of the only common vertical line" in Euclidean geometry is replaced by "from a point outside the line, at least two straight lines can be made parallel to this straight line"
What is the application of Roche geometry?
I mainly talk about the application in physics. Of course, I can also talk about the application of Roche geometry in other aspects. The Roche Geometry I mentioned is the kind of geometry proposed by robachevsky
I know that Riemannian geometry can be applied in the theory of relativity, and I also want to know what application Roche geometry has, although it is utilitarian to say so
Robachevsky geometry (hyperbolic geometry) is a kind of non Euclidean geometry, it has a wide range of applications in the theory of celestial bodies: here, we have been talking about the famous Gauss bonnet Chern theorem from hyperbolic geometry, we also have to mention one person, that is the great Riemann, who created the narrow Riemann several
In an isosceles right triangle, if the sum of the height of the hypotenuse and the hypotenuse is 6cm, the length of the hypotenuse is longer______ centimeter
Pythagorean theorem or three lines in one
Three lines in one
In △ ABC, ab = AC, ∠ a = 90 ° then ∠ B = ∠ C = 45 °
Ad is high on BC
Therefore, bad = CAD = 45 degree
So ad = DB = DC
BC = BD + DC, BC + ad = 6cm
So BC = 4cm
The hypotenuse of a right triangle is 12 cm long, and the two right sides are 9.6 cm and 7.2 cm long respectively. The height of the hypotenuse of this right triangle is () cm
Let the height of the hypotenuse be x, which can be obtained from the area calculation formula,
9.6*7.2/2＝12*X/2
X=5.76
If the hypotenuse of a right triangle is 2cm longer than one right side and 6cm longer than the other right side, the length of its hypotenuse ()
A. 4cmB. 8cmC. 10cmD. 12cm
Let the hypotenuse be X. then according to the Pythagorean theorem, we can get: (X-2) 2 + 62 = X2, the solution is: x = 10, so the length of hypotenuse is 10cm
If the length of one right side of a right triangle is 6 and the length of the hypotenuse is 2 longer than that of the other straight corner, then the length of the hypotenuse is ()
A. 4B. 6C. 8D. 10
If the other right angle side is a, then the hypotenuse is (a + 2). ∵ the length of the other right angle side is 6, ∵ (a + 2) 2 = A2 + 62, the solution is a = 8, ∵ a + 2 = 8 + 2 = 10
If the hypotenuse of a right triangle is 2 larger than that of the right triangle, and the other right triangle is 6, then the length of the hypotenuse is 2______ ．
Let the hypotenuse be x, then x2 = (X-2) 2 + 62 and the solution is x = 10
The length of the hypotenuse of a right triangle is longer than that of a right triangle. 2. The length of the other right triangle is 6. Calculate the length of the hypotenuse
RELATED INFORMATIONS
- 1. How many degrees is the sum of the internal angles of a triangle
- 2. In the triangle ABC, BC = B-A and B-A = 80 ° then the cosine of the inner angle c is
- 3. In the triangle ABC, the opposite sides of the three inner angles ABC are ABC, and the angle a is 80 °, a & # 178; = B (B + C), and the degree of angle c is calculated
- 4. In △ ABC, the opposite sides of angles a, B and C are a, B and C respectively. If SINB = 2sinc and A2 − B2 = 32bc, then a=______ ．
- 5. In △ ABC, (a + B + C) (SINB + sinc Sina) = 3bsinc, and Sina = 2sinbcosc, what triangle is △ ABC?
- 6. In the acute triangle ABC, AB > BC > AC, and the maximum internal angle is 24 ° larger than the minimum internal angle, then the value range of ∠ A is______ ．
- 7. In the triangle ABC, the opposite sides of the angle are ABC. If bcosc + ccosb = 2acosa, vector AB * vector AC = 3 and B + C = 5, the value of a is obtained
- 8. If the cosine of their angle is the root of the equation 5x2-7x-6 = 0, then the length of the other side of the triangle is () A. 52B. 213C. 16D. 4
- 9. In the triangle ABC, C = 3 / 4 π, Sina = 5 / 5 root sign, find cosa and SINB, if AB = 2 times root sign 2, find a, B
- 10. A mathematical problem about cosine theorem, will help ah! Thank you~~ Please take a look for me In △ ABC, the opposite sides of angles a, B and C are a, B and C respectively. If (a ^ 2 + C ^ 2-B ^ 2) * tanb = root 3 * AC, then the size of angle B is calculated Solution: CoSb * 2Ac * tanb = radical 3 * AC CoSb * tanb = radical 3 / 2 SINB = root 3 / 2 Why is the answer only 60?
- 11. In △ ABC, if the degree ratio of angle a, angle B and angle c is 2:3:5, then what triangle is △ ABC
- 12. In the triangle ABC, the angle B is equal to 30 degrees, the angle c is equal to 45 degrees, AB is equal to two centimeters, then what is BC equal to
- 13. Known triangle ABC solution triangle. Angle a = 45 degrees, angle B = 75 degrees, B = 8, Angle a equals 60 degrees, angle B equals 45 degrees, a = 3.
- 14. If triangle ABC is equal to triangle def, angle a = 40 degrees, angle e = 70 degrees, BC = a, ab = B, then DF =? The length of DF is
- 15. In a right triangle, the lengths of two right angles are known: 12 meters and 3.6 meters respectively. The length of the hypotenuse and the degree of the minimum acute angle are calculated
- 16. Solving right triangle At the same time, ship a and ship B depart from port a to island B. ship a sails to Island b 60 ° north by west at a speed of 10 knots; ship B sails at a speed of 20 knots, first sailing due east for 1 hour, then arriving at port C to pick up passengers. After staying for half an hour, ship a turns northeast to island B. the speed is still 20 knots There is a lighthouse on Island b, which can be seen within 5 nautical miles of the lighthouse. Ask which ship a or B sees the lighthouse first, and what is the time difference between the two ships? (accurate to minutes, √ 3 = 1.73, √ 2 = 1.41, √ 6 = 2.45)
- 17. A right triangle has an angle of 45 ° and its longest side is known to be 12 cm. The area of this triangle is______ Square centimeter
- 18. The circumference of a right triangle is 36 cm, and the length ratio of the three sides is 3:4:5 (1) How many centimeters are the three sides of this triangle? (2) What's the area of this right triangle in square centimeters?
- 19. The square of the hypotenuse of a right triangle is twice the product of two right angles. This triangle has an acute angle () A. 15°B. 30°C. 45°D. 60°
- 20. The height of a right triangle with an oblique angle of 18 ° is 10