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Look at the two triangular flags below. What is the length of the side BC of triangle ABC? Answer A)2 m B)3 m C)6 m D)9 m
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Triangle ABC is congruent to triangle DEF So BC is congruent to EF, which means x-1 = 3x-7 Solve for x: x-1 = 3x-7 x-3x = -7+1 -2x = -6 x = -6/(-2) x = 3 ---------- BC = x-1 BC = 3-1 BC = 2 So BC is 2 meters long
The two triangles are congruent by angle-angle-side congruency. Hence BC=EF so x=3 and hence BC=2
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