Line segment

Cut a line segment of 15 cm into two line segments so that their lengths are in a ratio of 2:1. What length will each have?

Correct answer:

a =  10 cm
b =  5 cm

Step-by-step explanation:

u=15 cm a:b=2:1  a+b=u a=2b a+b=15 a=2b  a+b=15 a=2⋅ b  a+b=15 a−2b=0  Row2−Row1→Row2 a+b=15 −3b=−15  b=−3−15​=5 a=15−b=15−5=10  a=10 b=5

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