Suppose a line the appears parallel to side BC of ABC intersects sides AB and AC at points X and Y respectively, and AX/AB = 1/2. How can you determine if the line is or is not parallel to BC? Explain

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Use pythagorean’s theorem and find the missing side lengths of the two smaller triangles and add them together
13^2 - 12^2 = 5
15^2 - 12^2 = 9
5+9 = 14
14 is the length of each side of the square
14^2 + 14^2 = 19.8
19.8 is the diagonal length of the inside if the square