Question

Is it possible to construct a triangle of sides 17cm,9cm,7cm

Answer 1

No,it is not possible to construct a triangle of sides 17cm,9cm and 7cm.

As they aren't Pythagorean triplets.

we found that out by this formula:
${hypoteneuse}^{2} = {altitude}^{2 } + {base}^{2}$
$\: \: \: \: \: \: \: {17}^{2} = {9}^{2 } + {7}^{2} \\ = > 289 = 81 + 49 \\ = > 289 = 130$
Since hypotenuse ×hypotenuse isn't equal to the sum of altitude ×altitude and base×base

Therefore a triangle cannot be constructed with the given measures.