A triangle A B C and a line segment which creates a smaller triangle D E C nested inside the first triangle are given. In the larger triangle, vertex A is on the bottom left of the triangle, vertex B is to the right of vertex A, and vertex C is above and slightly to the right of the center of the other two vertices. The smaller triangle shares vertex C with the larger triangle, vertex D is on line segment A C of the larger triangle and vertex E is on line segment B C of the larger triangle. Line segment A D has length 8.60 m, line segment D C has length 12.9 m, line segment C E has length 10.8 m, and line segment A B has length 25.0 m. Find the length (in m) of DE.  Find the length (in m) of BC.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A triangle A B C and a line segment which creates a smaller triangle D E C nested inside the first triangle are given.

  • In the larger triangle, vertex A is on the bottom left of the triangle, vertex B is to the right of vertex A, and vertex C is above and slightly to the right of the center of the other two vertices.
  • The smaller triangle shares vertex C with the larger triangle, vertex D is on line segment A C of the larger triangle and vertex E is on line segment B C of the larger triangle.
  • Line segment A D has length 8.60 m, line segment D C has length 12.9 m, line segment C E has length 10.8 m, and line segment A B has length 25.0 m.

Find the length (in m) of DE

Find the length (in m) of BC.

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