Question

Which of the following sets of measurements can be used to construct a triangle?

• A. $4\text{cm},5\text{cm},6\text{cm}$
• B. $4\text{cm},3\text{cm},8\text{cm}$
• C. $5\text{cm},6\text{cm},12\text{cm}$
• D. $6\text{cm},3\text{cm},10\text{cm}$

Answer 1

Answer: (A)

$4\text{cm},5\text{cm},6\text{cm}$

Because the sum of the length of any $2$ sides of the triangle should be greater than the third side, which is only satisfied by option $A.$

$(4+5)>6$

$(4+6)>5$

$(5+6)>4$