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.
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.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 11PS
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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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