SOLUTION: IF 2 sides of a triangle measure 12cm and 7cm, which of the following CANNOT be the Perimeter of the triangle? A. 29cm B.34cm C.37 cm D. 38cm

Question 308524: IF 2 sides of a triangle measure 12cm and 7cm, which of the following CANNOT be the Perimeter of the triangle?
A. 29cm
B.34cm
C.37 cm
D. 38cm
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
D
---------
The 3rd side has to be more than 12-7 and less than 12+7

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
IF 2 sides of a triangle measure 12cm and 7cm, which of the following CANNOT be the Perimeter of the triangle?
------------------------------------
Let "x" be the 3rd side of the triangle:
12-7 < x < 12+7
5 < x < 19
--------
Perimeter = 12 + 7 + x = 19+x
x = perimeter - 19
-----
If A is true x = 29-19 = 10 which is allowable for "x".
If B is true x = 34-19 = 15 which is allowable for "x".
If C is true x = 37-19 = 18 which is allowable for "x".
If D is true x = 38-19 = 19 which is not allowable for "x".
===========================================================
Cheers,
Stan H.
===========================================================
A. 29cm
B.34cm
C.37 cm
D. 38cm

RELATED QUESTIONS
If two sides of a triangle measure 23cm and 7cm,which of the following can be measure of... (answered by stanbon)
can you make a triangle with the sides of 12cm,7cm, and 5cm (answered by josgarithmetic)
if 2 sides of a triangle measure 12 cm and 7 cm which of the following cannot be the... (answered by edjones)
If two sides of a triangle measure 30 and 60, which of the following cannot be the... (answered by solver91311)
Which 3 lengths could be the lengths of the sides of a triangle? Need help. Thanks. (answered by Alan3354)
Which 3 lengths could be the lengths of the sides of a triangle? A. 9cm, 22cm, 11cm B.... (answered by richwmiller)
The side lengths of a triangle are 7cm, 11cm,and 12cm. And the perimeter of a similar... (answered by josgarithmetic)
Find the length of the hypotenuse of a right angled triangle , if the other 2 sides... (answered by Fombitz,richwmiller)
Please Help : The lengths of the sides of a triangle are 7cm, 12cm, 6cm. Is the triangle... (answered by Alan3354)