Triangle segment construction

The sum of the lengths of the three segments is 140mm. Name at least 2 triplets of segment lengths from which we can construct a triangle. Construct triangles

Final Answer:

a₁ =  46 mm
b₁ =  46 mm
c₁ =  48 mm
a₂ =  55 mm
b₂ =  55 mm
c₂ =  30 mm

Step-by-step explanation:

$$\begin{gathered} o=140\text{mm} \\ o=a+b+c \\ a+b>c \\ b+c>a \\ c+a>b \\ {a}_1=\lfloor o/3\rfloor =\lfloor 140/3\rfloor =46\text{mm} \end{gathered}$$

$b_1=a_1=46=46\text{mm}$

$c_1=o-a_1-b_1=140-46-46=48\text{mm}$

Try calculation via our triangle calculator.

$a_2=o/2-15=140/2-15=55\text{mm}$

$b_2=o/2-15=140/2-15=55\text{mm}$

$c_2=o-a_2-b_2=140-55-55=30\text{mm}$

Try calculation via our triangle calculator.

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