Atriangle has two sides that measure 5 cm and 7 cm. which of the following cannot be the measure of the third side?
a 3 cm
b 10 cm
c 17 cm

Option C.

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

so

Let

c------> the length of the third side

case 1)

case 2)

------> rewrite

The solution of the third side is the interval------->

therefore

can not be a measure of the third side

i need a picture

step-by-step explanation:

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: