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emmainna [20.7K]
3 years ago
11

What is the length of segment DC?

Mathematics
1 answer:
erik [133]3 years ago
5 0
Since BD is the bisector of angle B, the segments to its left are proportional to those to its right. The proportion can be written at least 4 ways, but it is convenient to write it with x in a numerator.

x/(15 cm) = (5.6 cm)/(7 cm)
Multiplying by 15 cm, we get
x = (15 cm)×(5.6/7) = 12 cm

The appropriate choice is
  D. 12 cm
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Hello from MrBillDoesMath!

Answer:   SAS = side - angle -side    congruence

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Discussion :

In Plane Geometry,  identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.

In one approach ("SSS") if you can show that 2 triangles have identical side lengths,  then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)

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