I have a new intriguing geometric problem. Do you have any ideas on how to solve it?

More Liudmyla Hetmanenko's questions See All

A new interesting geometry problem. Can you find the measure of angle?

In the isosceles triangle ABC (AC=AB), the angle at the vertex is 20°. Point D is chosen on the side AB such that AD=BC. Find the measure of angle CDB.

23 June 2024 7,541 8 View

The problem at hand concerns the application of the "II Lagrange's formula". Would you like to try solving it?

In triangle ABC, the bisector AL₁ is drawn. Points O₁, O₂, O are the centers of the circles circumscribed around triangles ACL₁, ABL₁, ABC, respectively. The radii are denoted as R₁, R₂, R for...

12 June 2024 7,596 1 View

A new interesting problem. Would you like to try solving it?

Consider a circle of radius R with center O. Two other circles are internally tangent to this circle and intersect at points A and B. Find the sum of the radii of the other two circles, given...

29 May 2024 9,788 1 View

There's a new beautiful geometric problem. Would you like to try solving it?

Two circles with radii R and r touch externally at point A. Through point B, which belongs to the larger circle, a tangent to the smaller circle is drawn to point C. Find the length of the...

22 May 2024 4,420 1 View

Find the distance from point K to side BC. Do you have any ideas on how to solve it?

The circle touches AB and AC the lateral sides of the isosceles triangle ABC at the vertices B and C (Fig. 1). On the arc of this circle, which lies inside this triangle, there is a point K so...

11 May 2024 7,124 6 View

Original Geometry Problem.Can you solve it?

In a right-angled triangle ABC (∠C=90°), the height CD equals to h is drawn. The points M and N are chosen on the continuation of AB such that NA=AD and DB=BM (Fig. 1). Find the distance from...

29 April 2024 8,913 3 View

I have a new interesting geometric problem. Do you have any ideas on how to solve it?

In a right-angled triangle ABC (∠C=90°), the height CD equal to h is drawn. The points M and N are the midpoints of the segments BD and AD. Find the distance from the point C to the orthocenter...

06 April 2024 5,232 6 View

I have a new geometric problem. Do you have any ideas on how to solve it?

Point X belongs to the circle inscribed in the equilateral triangle ABC (see Figure 1). Lines parallel to the sides of the triangle are drawn through point X. The areas of the formed triangles...

30 March 2024 5,406 5 View

Dear colleagues, I present to you another elegant geometry problem. Who can solve this problem?

A circle is inscribed in triangle ABC (AC=AB). The point of heights’ intersection (orthocenter) (Fig. 1) belongs to this circle. Find the angles of triangle ABC (Fig. 2).

19 March 2024 1,162 8 View

Original Geometry Problem.Can you solve it?

In triangle ABC (with angle C = 90 degrees), the legs are equal to 5 and 7. From vertex C, segment CD is drawn (with D belonging to side BA) such that circles inscribed in triangles CAD and CBD...

26 February 2024 5,358 30 View

How to Import Blade geometry from CAD file in ANSYS design modeler?

Hello. I have the geometry of a blade in CAD file (stp) and I want to prepare the blade for meshing with turboGrid. I must import this file into designModeler and then transfer to the...

27 July 2024 356 3 View

How can I use DFT-D3 correction ( Siesta version 5.0.1)?

Dear Siesta Users, I installed Siesta 5.0.1 and I want to use Grimme's D3 correction. According to the 5.0.1 manual, I could use a few parameters to include the D3 correction in the...

27 July 2024 5,748 0 View

Flow through curved domains?

Hi everyone, I am working on a curved domain in which a ship is situated in the middle (geometry is given below). In my understanding the general fluid flow is parallel to the x axis from inlet to...

25 July 2024 9,058 4 View

Is it true that there is a physico-statistical meaning to the constant π other than circular geometry but the iron guardians of the SE deny it?

We assume that there is a physico-statistical meaning to the constant π other than circular geometry, but the iron guardians of the Schrödinger equation deny this. The iron guardians of the...

22 July 2024 4,285 9 View

How to import STL format into ANSYS APDL?

Hi everyone, I want to import an STL geometry (surface meshed with 2D meshes) into ANSYS APDL. After importing, I also want to mesh the structure with SOLID187 elements to convert it into a solid...

25 June 2024 4,286 4 View

A new interesting geometry problem. Can you find the measure of angle?

In the isosceles triangle ABC (AC=AB), the angle at the vertex is 20°. Point D is chosen on the side AB such that AD=BC. Find the measure of angle CDB.

23 June 2024 7,541 8 View

The problem at hand concerns the application of the "II Lagrange's formula". Would you like to try solving it?

12 June 2024 7,596 1 View

How to create solid45 elements to an existing cad geometry?

I imported an 3D cad geometry in ansys. Now I want to create the mesh with solid45 element in workbench. How to proceed?

05 June 2024 2,490 1 View

A new interesting problem. Would you like to try solving it?

Consider a circle of radius R with center O. Two other circles are internally tangent to this circle and intersect at points A and B. Find the sum of the radii of the other two circles, given...

29 May 2024 9,788 1 View

Why does my IRC calculation generates higher energy structure around TS ?

While computing the mechanism of a trimethylsilylcyanation related to this work (10.1021/acs.organomet.1c00070) I managed to optimize the geometry of both reactants and product and locate a good...

26 May 2024 9,925 0 View

Sergiy Gladun

It is easy to see that angle AMC is 135 degrees. Therefore, point M lies on a circle with center at point B and radius BA.

Therefore angle ABM=90 deg-2alpha.

Javier López Wong

Dinu Teodorescu

In the above geometrical structure, find the value of tan(alpha) if d(M,AD)=sqrt(2) d(M,AC), where d(M,AD) and d(M,AC) are the distances from the point M to AD, respectively to AC.