![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
It is known that the base of a triangular pyramid is an equilateral triangle with side length of 1, and the length of the two side edges is 2 / 13, then the length of the third edge is equal
First calculate the high root 3 of the bottom of an isosceles triangle which is composed of known side edges and bottom edges
Then calculate the height of the regular triangle on the bottom (root 3) / 2
Range (radical 3 - (radical 3) / 2, radical 3 + (radical 3) / 2)
RELATED INFORMATIONS
- 1. The bottom of the Mitsubishi cone is an equilateral triangle with side length a, and the length of the two sides is (root number 13) a / 2. Try to find the value range of the third side length
- 2. How to set up a rectangular coordinate system for a pyramid whose base side length is 5, root 2, and side edge length is 13?
- 3. It is known that the three sides of △ ABC are a = 2, radical 5, B = radical 13 and C = radical 61. Try to find the area of △ ABC Associative figure
- 4. It is known that △ ABC ∽ def, the lengths of three sides of △ ABC are radical 2, radical 14, 2, and the lengths of two sides of △ def are 1 and radical 7 respectively, so the third side of △ def can be obtained To solve the process
- 5. In tetrahedral PABC, PA, Pb and PC are perpendicular. It is proved that △ ABC is an acute triangle In tetrahedral PABC, PA, Pb and PC are perpendicular. It is proved that ① △ ABC is an acute triangle. ② the square of s △ ABC = the square of s △ PBC + the square of s △ PAB + the square of s △ PCA
- 6. P is a point in the equilateral triangle ABC. If the distance from P to three sides is equal, then PA = Pb = PC Please prove this proposition,
- 7. In the isosceles triangle ABC, ab = AC = 6, P is a point on BC, and PA = 4, then what is the value of Pb × PC?
- 8. If we know three vertices a, B, C of ⊿ ABC and a point P in the plane, satisfying PA + Pb + PC = 0, then point P is () A. Center of gravity
- 9. Given three vertices a, B, C of △ ABC and a point P in the plane, if the vector PA + Pb + PC = AB, then the positional relationship between point P and △ ABC is? The relationship between PA and PC is obtained
- 10. Each vertex of the cuboid abcd-a1b1c1d1 is on the sphere of the sphere o with the volume of 32 / 3 Pai, where Aa1 = 2, then the volume of the pyramid o-abcd is smaller The maximum value is
- 11. Let the length of six edges of a tetrahedron be 1,1,1,1, a, √ 2 respectively, and the edges with length a are different from the edges with length √ 2 around
- 12. What is the volume of a regular tetrahedron with a side length of 3 radical 2?
- 13. The surface area of a pyramid with 1 edge length is
- 14. The volume of a regular pyramid is 2 / 3 of the root sign, and the minimum surface area is obtained
- 15. In solid geometry, if the volume of a triangular pyramid with equal edge length is 2 / 3 of its root sign, the surface area of the pyramid is
- 16. Comparison size: - 1.3 and - root 1.7, 8 / 8 root 10-3 and 1 / 8
- 17. The volume ratio of the inscribed sphere to the circumscribed sphere of a cube is______ ．
- 18. The volume ratio of the inscribed sphere to the circumscribed sphere of a cube is______ ．
- 19. If the volume of the circumscribed sphere of a cube is 36 π, the surface area of the cube is 0
- 20. Let the total area of a cube be 24 and find the volume of its circumscribed sphere