Triangle Side Lengths Ratio

Triangle with o = 16.8 cm and aspect ratio a:c = 1:2 and b:c = 5:6. Calculate side lengths a =? B =? c =?

Final Answer:

a =  3.6
b =  6
c =  7.2

Step-by-step explanation:


a+b+c = 16.8
a = 1/2 · c
b = 5/6 · c

a+b+c = 16.8
2a-c = 0
6b-5c = 0

Pivot: Row 1 ↔ Row 2
2a-c = 0
a+b+c = 16.8
6b-5c = 0

Row 2 - 1/2 · Row 1 → Row 2
2a-c = 0
b+1.5c = 16.8
6b-5c = 0

Pivot: Row 2 ↔ Row 3
2a-c = 0
6b-5c = 0
b+1.5c = 16.8

Row 3 - 1/6 · Row 2 → Row 3
2a-c = 0
6b-5c = 0
2.333c = 16.8


c = 16.8/2.33333333 = 7.2
b = 0+5c/6 = 0+5 · 7.2/6 = 6
a = 0+c/2 = 0+7.2/2 = 3.6

a = 18/5 = 3.6
b = 6
c = 36/5 = 7.2

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