In the triangle ABC the point D lies on the side BC and point E on the side AB

In summary, the relationship between points D and E in triangle ABC is that they are simply two points on different sides of the triangle. The coordinates of points D and E can be found using the distance formula or the midpoint formula. These points can be located inside, on the sides, or outside of the triangle. Points D and E are significant in determining the properties of triangle ABC and can be used to find the length of sides, calculate area, and prove geometric theorems. While they do not directly affect the angles of the triangle, their positions on the sides can alter the angles if they create line segments that intersect with them.
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In the triangle ABC the point D lies on the side BC and point E on the side AB. BD = AC, AD = AE and AB ^ 2 = AC * BC. Show that \angle BAD = \angle CEAView attachment 4777
 

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See http://mathhelpboards.com/geometry-11/triangle-prove-16222.html.
 

FAQ: In the triangle ABC the point D lies on the side BC and point E on the side AB

What is the relationship between points D and E in triangle ABC?

The points D and E are not directly related to each other in triangle ABC. They are simply two points that lie on different sides of the triangle.

How do you find the coordinates of points D and E in triangle ABC?

The coordinates of points D and E can be found by using the distance formula and the coordinates of the other points in the triangle. Alternatively, they can also be found by using the midpoint formula if the coordinates of the midpoints of the sides are known.

Can points D and E be located inside the triangle ABC?

Yes, points D and E can be located inside the triangle if they are positioned between the vertices of the triangle on their respective sides. However, they can also lie on the sides or outside of the triangle.

What is the significance of points D and E in triangle ABC?

Points D and E are important in determining the properties of triangle ABC. They can be used to find the length of the sides, calculate the area, and determine the type of triangle (e.g. isosceles, scalene, right, etc.). They can also be used to prove geometric theorems related to triangles.

How do points D and E affect the angles of triangle ABC?

Points D and E do not have a direct effect on the angles of triangle ABC. However, their positions on the sides of the triangle can affect the measures of the angles if they are used to create line segments that intersect with the angles. This intersection can create smaller triangles or alter the angles in some way.

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