Question

Fill in the Blank.

A triangle with sides measuring $6\mathrm{cm},5\mathrm{cm},\mathrm{and}12\mathrm{cm}$ is ___ to draw.

Answer 1

Sum of the sides of a triangle:

According to the Triangle Inequality Theorem, the total of any two triangle sides must be greater than the third.

The given sides of a triangle are $6\mathrm{cm},5\mathrm{cm},\mathrm{and}12\mathrm{cm}$.

Applying the Triangle Inequality Theorem,

$6+5=11<12$

The theorem does not hold true for this triangle.

Hence, a triangle with sides measuring $6\mathrm{cm},5\mathrm{cm},\mathrm{and}12\mathrm{cm}$ is impossible to draw.