Question

sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. which is true about sarkiss plan?
sarkis can only draw one unique triangle with these side lengths.
sarkis can draw exactly two triangles with these side lengths.
sarkis cannot draw a triangle with these side lengths.
sarkis can draw more than one triangle with these side lengths.

Explanation:

Step1: Apply triangle inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Check \(4 + 10\) and \(16\).
\(4+10 = 14\)

Step2: Compare with the third side

Since \(14<16\), the triangle inequality is not satisfied.

Answer:

Sarkis cannot draw a triangle with these side lengths.